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Finding the Fourth Proportional to 6,592.16, 9,890.68 and 4,839.32

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Solution

The fourth proportional to 6,592.16, 9,890.68 and 4,839.32 is: 7,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.16 : 9,890.68 = 4,839.32 : x
  2. Step 2: Convert to fraction form
    6,592.16/9,890.68 = 4,839.32/x
  3. Step 3: Cross multiply
    6,592.16x = 9,890.68 × 4,839.32
  4. Step 4: Simplify right side
    6,592.16x = 47,864,165.54
  5. Step 5: Solve for x
    x = 47,864,165.54/6,592.16
  6. Step 6: Final answer
    x = 7,260.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.