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Finding the Fourth Proportional to 7,655.40, 10,565.61 and 4,672.96

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Solution

The fourth proportional to 7,655.40, 10,565.61 and 4,672.96 is: 6,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.40 : 10,565.61 = 4,672.96 : x
  2. Step 2: Convert to fraction form
    7,655.40/10,565.61 = 4,672.96/x
  3. Step 3: Cross multiply
    7,655.40x = 10,565.61 × 4,672.96
  4. Step 4: Simplify right side
    7,655.40x = 49,372,688.40
  5. Step 5: Solve for x
    x = 49,372,688.40/7,655.40
  6. Step 6: Final answer
    x = 6,449.39

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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.