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Finding the Fourth Proportional to 9,752.55, 13,456.17 and 5,774.64

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Solution

The fourth proportional to 9,752.55, 13,456.17 and 5,774.64 is: 7,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.55 : 13,456.17 = 5,774.64 : x
  2. Step 2: Convert to fraction form
    9,752.55/13,456.17 = 5,774.64/x
  3. Step 3: Cross multiply
    9,752.55x = 13,456.17 × 5,774.64
  4. Step 4: Simplify right side
    9,752.55x = 77,704,537.53
  5. Step 5: Solve for x
    x = 77,704,537.53/9,752.55
  6. Step 6: Final answer
    x = 7,967.61

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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.