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Finding the Fourth Proportional to 6,932.38, 9,574.62 and 5,052.40

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Solution

The fourth proportional to 6,932.38, 9,574.62 and 5,052.40 is: 6,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.38 : 9,574.62 = 5,052.40 : x
  2. Step 2: Convert to fraction form
    6,932.38/9,574.62 = 5,052.40/x
  3. Step 3: Cross multiply
    6,932.38x = 9,574.62 × 5,052.40
  4. Step 4: Simplify right side
    6,932.38x = 48,374,810.09
  5. Step 5: Solve for x
    x = 48,374,810.09/6,932.38
  6. Step 6: Final answer
    x = 6,978.10

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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.