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Finding the Fourth Proportional to 9,565.77, 13,207.14 and 5,986.16

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Solution

The fourth proportional to 9,565.77, 13,207.14 and 5,986.16 is: 8,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.77 : 13,207.14 = 5,986.16 : x
  2. Step 2: Convert to fraction form
    9,565.77/13,207.14 = 5,986.16/x
  3. Step 3: Cross multiply
    9,565.77x = 13,207.14 × 5,986.16
  4. Step 4: Simplify right side
    9,565.77x = 79,059,987.15
  5. Step 5: Solve for x
    x = 79,059,987.15/9,565.77
  6. Step 6: Final answer
    x = 8,264.88

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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.