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Finding the Fourth Proportional to 8,994.76, 12,407.68 and 5,677

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Solution

The fourth proportional to 8,994.76, 12,407.68 and 5,677 is: 7,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,994.76 : 12,407.68 = 5,677 : x
  2. Step 2: Convert to fraction form
    8,994.76/12,407.68 = 5,677/x
  3. Step 3: Cross multiply
    8,994.76x = 12,407.68 × 5,677
  4. Step 4: Simplify right side
    8,994.76x = 70,438,399.36
  5. Step 5: Solve for x
    x = 70,438,399.36/8,994.76
  6. Step 6: Final answer
    x = 7,831.05

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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.