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Finding the Fourth Proportional to 9,848.16, 13,592 and 9,524.16

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Solution

The fourth proportional to 9,848.16, 13,592 and 9,524.16 is: 13,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.16 : 13,592 = 9,524.16 : x
  2. Step 2: Convert to fraction form
    9,848.16/13,592 = 9,524.16/x
  3. Step 3: Cross multiply
    9,848.16x = 13,592 × 9,524.16
  4. Step 4: Simplify right side
    9,848.16x = 129,452,382.72
  5. Step 5: Solve for x
    x = 129,452,382.72/9,848.16
  6. Step 6: Final answer
    x = 13,144.83

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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.