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Finding the Fourth Proportional to 14,032.51, 19,364.74 and 7,744.75

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Solution

The fourth proportional to 14,032.51, 19,364.74 and 7,744.75 is: 10,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.51 : 19,364.74 = 7,744.75 : x
  2. Step 2: Convert to fraction form
    14,032.51/19,364.74 = 7,744.75/x
  3. Step 3: Cross multiply
    14,032.51x = 19,364.74 × 7,744.75
  4. Step 4: Simplify right side
    14,032.51x = 149,975,070.12
  5. Step 5: Solve for x
    x = 149,975,070.12/14,032.51
  6. Step 6: Final answer
    x = 10,687.69

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Half scale
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Double scale
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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.