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Finding the Fourth Proportional to 9,397.95, 12,939.65 and 7,978.70

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Solution

The fourth proportional to 9,397.95, 12,939.65 and 7,978.70 is: 10,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.95 : 12,939.65 = 7,978.70 : x
  2. Step 2: Convert to fraction form
    9,397.95/12,939.65 = 7,978.70/x
  3. Step 3: Cross multiply
    9,397.95x = 12,939.65 × 7,978.70
  4. Step 4: Simplify right side
    9,397.95x = 103,241,480.86
  5. Step 5: Solve for x
    x = 103,241,480.86/9,397.95
  6. Step 6: Final answer
    x = 10,985.53

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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.