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Finding the Fourth Proportional to 13,772.53, 19,006.14 and 7,484.91

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Solution

The fourth proportional to 13,772.53, 19,006.14 and 7,484.91 is: 10,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.53 : 19,006.14 = 7,484.91 : x
  2. Step 2: Convert to fraction form
    13,772.53/19,006.14 = 7,484.91/x
  3. Step 3: Cross multiply
    13,772.53x = 19,006.14 × 7,484.91
  4. Step 4: Simplify right side
    13,772.53x = 142,259,204.14
  5. Step 5: Solve for x
    x = 142,259,204.14/13,772.53
  6. Step 6: Final answer
    x = 10,329.20

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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.