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Finding the Fourth Proportional to 10,540.01, 14,545.08 and 5,824.19

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Solution

The fourth proportional to 10,540.01, 14,545.08 and 5,824.19 is: 8,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.01 : 14,545.08 = 5,824.19 : x
  2. Step 2: Convert to fraction form
    10,540.01/14,545.08 = 5,824.19/x
  3. Step 3: Cross multiply
    10,540.01x = 14,545.08 × 5,824.19
  4. Step 4: Simplify right side
    10,540.01x = 84,713,236.76
  5. Step 5: Solve for x
    x = 84,713,236.76/10,540.01
  6. Step 6: Final answer
    x = 8,037.31

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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.