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Finding the Fourth Proportional to 9,700.86, 13,387.78 and 6,346.55

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Solution

The fourth proportional to 9,700.86, 13,387.78 and 6,346.55 is: 8,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.86 : 13,387.78 = 6,346.55 : x
  2. Step 2: Convert to fraction form
    9,700.86/13,387.78 = 6,346.55/x
  3. Step 3: Cross multiply
    9,700.86x = 13,387.78 × 6,346.55
  4. Step 4: Simplify right side
    9,700.86x = 84,966,256.56
  5. Step 5: Solve for x
    x = 84,966,256.56/9,700.86
  6. Step 6: Final answer
    x = 8,758.63

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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.