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Finding the Fourth Proportional to 9,894.48, 13,655.24 and 5,704.08

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Solution

The fourth proportional to 9,894.48, 13,655.24 and 5,704.08 is: 7,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.48 : 13,655.24 = 5,704.08 : x
  2. Step 2: Convert to fraction form
    9,894.48/13,655.24 = 5,704.08/x
  3. Step 3: Cross multiply
    9,894.48x = 13,655.24 × 5,704.08
  4. Step 4: Simplify right side
    9,894.48x = 77,890,581.38
  5. Step 5: Solve for x
    x = 77,890,581.38/9,894.48
  6. Step 6: Final answer
    x = 7,872.12

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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.