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Finding the Fourth Proportional to 11,397.50, 17,098.47 and 4,377

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Solution

The fourth proportional to 11,397.50, 17,098.47 and 4,377 is: 6,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.50 : 17,098.47 = 4,377 : x
  2. Step 2: Convert to fraction form
    11,397.50/17,098.47 = 4,377/x
  3. Step 3: Cross multiply
    11,397.50x = 17,098.47 × 4,377
  4. Step 4: Simplify right side
    11,397.50x = 74,839,986.78
  5. Step 5: Solve for x
    x = 74,839,986.78/11,397.50
  6. Step 6: Final answer
    x = 6,566.35

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1.5x scale

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.