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Finding the Fourth Proportional to 10,023.68, 13,832.03 and 5,547.15

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Solution

The fourth proportional to 10,023.68, 13,832.03 and 5,547.15 is: 7,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.68 : 13,832.03 = 5,547.15 : x
  2. Step 2: Convert to fraction form
    10,023.68/13,832.03 = 5,547.15/x
  3. Step 3: Cross multiply
    10,023.68x = 13,832.03 × 5,547.15
  4. Step 4: Simplify right side
    10,023.68x = 76,728,359.08
  5. Step 5: Solve for x
    x = 76,728,359.08/10,023.68
  6. Step 6: Final answer
    x = 7,654.71

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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.