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Finding the Fourth Proportional to 10,097.51, 15,122.75 and 9,747.18

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Solution

The fourth proportional to 10,097.51, 15,122.75 and 9,747.18 is: 14,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.51 : 15,122.75 = 9,747.18 : x
  2. Step 2: Convert to fraction form
    10,097.51/15,122.75 = 9,747.18/x
  3. Step 3: Cross multiply
    10,097.51x = 15,122.75 × 9,747.18
  4. Step 4: Simplify right side
    10,097.51x = 147,404,117.61
  5. Step 5: Solve for x
    x = 147,404,117.61/10,097.51
  6. Step 6: Final answer
    x = 14,598.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.