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Finding the Fourth Proportional to 9,524.63, 13,147.44 and 7,753.16

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Solution

The fourth proportional to 9,524.63, 13,147.44 and 7,753.16 is: 10,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.63 : 13,147.44 = 7,753.16 : x
  2. Step 2: Convert to fraction form
    9,524.63/13,147.44 = 7,753.16/x
  3. Step 3: Cross multiply
    9,524.63x = 13,147.44 × 7,753.16
  4. Step 4: Simplify right side
    9,524.63x = 101,934,205.91
  5. Step 5: Solve for x
    x = 101,934,205.91/9,524.63
  6. Step 6: Final answer
    x = 10,702.17

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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.