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Finding the Fourth Proportional to 8,490.66, 11,715.75 and 5,344.62

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Solution

The fourth proportional to 8,490.66, 11,715.75 and 5,344.62 is: 7,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.66 : 11,715.75 = 5,344.62 : x
  2. Step 2: Convert to fraction form
    8,490.66/11,715.75 = 5,344.62/x
  3. Step 3: Cross multiply
    8,490.66x = 11,715.75 × 5,344.62
  4. Step 4: Simplify right side
    8,490.66x = 62,616,231.77
  5. Step 5: Solve for x
    x = 62,616,231.77/8,490.66
  6. Step 6: Final answer
    x = 7,374.72

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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.