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Finding the Fourth Proportional to 12,346.97, 17,041.47 and 7,869.70

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Solution

The fourth proportional to 12,346.97, 17,041.47 and 7,869.70 is: 10,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.97 : 17,041.47 = 7,869.70 : x
  2. Step 2: Convert to fraction form
    12,346.97/17,041.47 = 7,869.70/x
  3. Step 3: Cross multiply
    12,346.97x = 17,041.47 × 7,869.70
  4. Step 4: Simplify right side
    12,346.97x = 134,111,171.25
  5. Step 5: Solve for x
    x = 134,111,171.25/12,346.97
  6. Step 6: Final answer
    x = 10,861.87

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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.