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Finding the Fourth Proportional to 6,565.59, 9,848.99 and 4,367.66

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Solution

The fourth proportional to 6,565.59, 9,848.99 and 4,367.66 is: 6,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.59 : 9,848.99 = 4,367.66 : x
  2. Step 2: Convert to fraction form
    6,565.59/9,848.99 = 4,367.66/x
  3. Step 3: Cross multiply
    6,565.59x = 9,848.99 × 4,367.66
  4. Step 4: Simplify right side
    6,565.59x = 43,017,001.34
  5. Step 5: Solve for x
    x = 43,017,001.34/6,565.59
  6. Step 6: Final answer
    x = 6,551.89

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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.