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Finding the Fourth Proportional to 6,502.65, 9,753.98 and 4,947.45

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Solution

The fourth proportional to 6,502.65, 9,753.98 and 4,947.45 is: 7,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.65 : 9,753.98 = 4,947.45 : x
  2. Step 2: Convert to fraction form
    6,502.65/9,753.98 = 4,947.45/x
  3. Step 3: Cross multiply
    6,502.65x = 9,753.98 × 4,947.45
  4. Step 4: Simplify right side
    6,502.65x = 48,257,303.61
  5. Step 5: Solve for x
    x = 48,257,303.61/6,502.65
  6. Step 6: Final answer
    x = 7,421.18

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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.