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Finding the Fourth Proportional to 12,747.16, 17,587.02 and 7,157.08

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Solution

The fourth proportional to 12,747.16, 17,587.02 and 7,157.08 is: 9,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.16 : 17,587.02 = 7,157.08 : x
  2. Step 2: Convert to fraction form
    12,747.16/17,587.02 = 7,157.08/x
  3. Step 3: Cross multiply
    12,747.16x = 17,587.02 × 7,157.08
  4. Step 4: Simplify right side
    12,747.16x = 125,871,709.10
  5. Step 5: Solve for x
    x = 125,871,709.10/12,747.16
  6. Step 6: Final answer
    x = 9,874.49

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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.