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Finding the Fourth Proportional to 13,125.42, 18,113 and 7,157.06

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Solution

The fourth proportional to 13,125.42, 18,113 and 7,157.06 is: 9,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.42 : 18,113 = 7,157.06 : x
  2. Step 2: Convert to fraction form
    13,125.42/18,113 = 7,157.06/x
  3. Step 3: Cross multiply
    13,125.42x = 18,113 × 7,157.06
  4. Step 4: Simplify right side
    13,125.42x = 129,635,827.78
  5. Step 5: Solve for x
    x = 129,635,827.78/13,125.42
  6. Step 6: Final answer
    x = 9,876.70

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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.