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Finding the Fourth Proportional to 6,513.71, 9,000.84 and 4,742.24

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Solution

The fourth proportional to 6,513.71, 9,000.84 and 4,742.24 is: 6,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.71 : 9,000.84 = 4,742.24 : x
  2. Step 2: Convert to fraction form
    6,513.71/9,000.84 = 4,742.24/x
  3. Step 3: Cross multiply
    6,513.71x = 9,000.84 × 4,742.24
  4. Step 4: Simplify right side
    6,513.71x = 42,684,143.48
  5. Step 5: Solve for x
    x = 42,684,143.48/6,513.71
  6. Step 6: Final answer
    x = 6,552.97

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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.