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Finding the Fourth Proportional to 13,735.62, 18,955.17 and 7,448.00

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Solution

The fourth proportional to 13,735.62, 18,955.17 and 7,448.00 is: 10,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.62 : 18,955.17 = 7,448.00 : x
  2. Step 2: Convert to fraction form
    13,735.62/18,955.17 = 7,448.00/x
  3. Step 3: Cross multiply
    13,735.62x = 18,955.17 × 7,448.00
  4. Step 4: Simplify right side
    13,735.62x = 141,178,011.38
  5. Step 5: Solve for x
    x = 141,178,011.38/13,735.62
  6. Step 6: Final answer
    x = 10,278.24

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Half scale
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Double scale
Find fourth proportional to 13,736.62, 18,956.55 and 7,449
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.