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Finding the Fourth Proportional to 10,807.13, 14,913.84 and 5,839.13

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Solution

The fourth proportional to 10,807.13, 14,913.84 and 5,839.13 is: 8,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.13 : 14,913.84 = 5,839.13 : x
  2. Step 2: Convert to fraction form
    10,807.13/14,913.84 = 5,839.13/x
  3. Step 3: Cross multiply
    10,807.13x = 14,913.84 × 5,839.13
  4. Step 4: Simplify right side
    10,807.13x = 87,083,775.99
  5. Step 5: Solve for x
    x = 87,083,775.99/10,807.13
  6. Step 6: Final answer
    x = 8,058.00

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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.