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Finding the Fourth Proportional to 9,886.32, 13,644.36 and 5,695.92

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Solution

The fourth proportional to 9,886.32, 13,644.36 and 5,695.92 is: 7,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.32 : 13,644.36 = 5,695.92 : x
  2. Step 2: Convert to fraction form
    9,886.32/13,644.36 = 5,695.92/x
  3. Step 3: Cross multiply
    9,886.32x = 13,644.36 × 5,695.92
  4. Step 4: Simplify right side
    9,886.32x = 77,717,183.01
  5. Step 5: Solve for x
    x = 77,717,183.01/9,886.32
  6. Step 6: Final answer
    x = 7,861.08

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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.