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Finding the Fourth Proportional to 8,944.60, 12,343.14 and 5,407.24

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Solution

The fourth proportional to 8,944.60, 12,343.14 and 5,407.24 is: 7,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,944.60 : 12,343.14 = 5,407.24 : x
  2. Step 2: Convert to fraction form
    8,944.60/12,343.14 = 5,407.24/x
  3. Step 3: Cross multiply
    8,944.60x = 12,343.14 × 5,407.24
  4. Step 4: Simplify right side
    8,944.60x = 66,742,320.33
  5. Step 5: Solve for x
    x = 66,742,320.33/8,944.60
  6. Step 6: Final answer
    x = 7,461.74

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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.