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Finding the Fourth Proportional to 9,851.60, 13,600.17 and 6,270.18

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Solution

The fourth proportional to 9,851.60, 13,600.17 and 6,270.18 is: 8,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.60 : 13,600.17 = 6,270.18 : x
  2. Step 2: Convert to fraction form
    9,851.60/13,600.17 = 6,270.18/x
  3. Step 3: Cross multiply
    9,851.60x = 13,600.17 × 6,270.18
  4. Step 4: Simplify right side
    9,851.60x = 85,275,513.93
  5. Step 5: Solve for x
    x = 85,275,513.93/9,851.60
  6. Step 6: Final answer
    x = 8,656.01

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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.