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Finding the Fourth Proportional to 9,652.16, 13,318.86 and 5,403.47

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Solution

The fourth proportional to 9,652.16, 13,318.86 and 5,403.47 is: 7,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.16 : 13,318.86 = 5,403.47 : x
  2. Step 2: Convert to fraction form
    9,652.16/13,318.86 = 5,403.47/x
  3. Step 3: Cross multiply
    9,652.16x = 13,318.86 × 5,403.47
  4. Step 4: Simplify right side
    9,652.16x = 71,967,993.85
  5. Step 5: Solve for x
    x = 71,967,993.85/9,652.16
  6. Step 6: Final answer
    x = 7,456.16

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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.