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Finding the Fourth Proportional to 8,307.69, 11,463.89 and 4,770.69

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Solution

The fourth proportional to 8,307.69, 11,463.89 and 4,770.69 is: 6,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.69 : 11,463.89 = 4,770.69 : x
  2. Step 2: Convert to fraction form
    8,307.69/11,463.89 = 4,770.69/x
  3. Step 3: Cross multiply
    8,307.69x = 11,463.89 × 4,770.69
  4. Step 4: Simplify right side
    8,307.69x = 54,690,641.53
  5. Step 5: Solve for x
    x = 54,690,641.53/8,307.69
  6. Step 6: Final answer
    x = 6,583.13

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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.