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Finding the Fourth Proportional to 9,348.75, 12,902.22 and 5,157

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Solution

The fourth proportional to 9,348.75, 12,902.22 and 5,157 is: 7,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.75 : 12,902.22 = 5,157 : x
  2. Step 2: Convert to fraction form
    9,348.75/12,902.22 = 5,157/x
  3. Step 3: Cross multiply
    9,348.75x = 12,902.22 × 5,157
  4. Step 4: Simplify right side
    9,348.75x = 66,536,748.54
  5. Step 5: Solve for x
    x = 66,536,748.54/9,348.75
  6. Step 6: Final answer
    x = 7,117.18

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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.