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Finding the Fourth Proportional to 9,407.68, 12,982.68 and 5,870.68

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Solution

The fourth proportional to 9,407.68, 12,982.68 and 5,870.68 is: 8,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.68 : 12,982.68 = 5,870.68 : x
  2. Step 2: Convert to fraction form
    9,407.68/12,982.68 = 5,870.68/x
  3. Step 3: Cross multiply
    9,407.68x = 12,982.68 × 5,870.68
  4. Step 4: Simplify right side
    9,407.68x = 76,217,159.82
  5. Step 5: Solve for x
    x = 76,217,159.82/9,407.68
  6. Step 6: Final answer
    x = 8,101.59

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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.