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Finding the Fourth Proportional to 10,001.92, 13,798.20 and 5,807.74

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Solution

The fourth proportional to 10,001.92, 13,798.20 and 5,807.74 is: 8,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.92 : 13,798.20 = 5,807.74 : x
  2. Step 2: Convert to fraction form
    10,001.92/13,798.20 = 5,807.74/x
  3. Step 3: Cross multiply
    10,001.92x = 13,798.20 × 5,807.74
  4. Step 4: Simplify right side
    10,001.92x = 80,136,358.07
  5. Step 5: Solve for x
    x = 80,136,358.07/10,001.92
  6. Step 6: Final answer
    x = 8,012.10

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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.