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Finding the Fourth Proportional to 10,029.15, 13,843.13 and 7,045.74

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Solution

The fourth proportional to 10,029.15, 13,843.13 and 7,045.74 is: 9,725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.15 : 13,843.13 = 7,045.74 : x
  2. Step 2: Convert to fraction form
    10,029.15/13,843.13 = 7,045.74/x
  3. Step 3: Cross multiply
    10,029.15x = 13,843.13 × 7,045.74
  4. Step 4: Simplify right side
    10,029.15x = 97,535,059.54
  5. Step 5: Solve for x
    x = 97,535,059.54/10,029.15
  6. Step 6: Final answer
    x = 9,725.16

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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.