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Finding the Fourth Proportional to 8,984, 12,399.84 and 5,673.92

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Solution

The fourth proportional to 8,984, 12,399.84 and 5,673.92 is: 7,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984 : 12,399.84 = 5,673.92 : x
  2. Step 2: Convert to fraction form
    8,984/12,399.84 = 5,673.92/x
  3. Step 3: Cross multiply
    8,984x = 12,399.84 × 5,673.92
  4. Step 4: Simplify right side
    8,984x = 70,355,700.17
  5. Step 5: Solve for x
    x = 70,355,700.17/8,984
  6. Step 6: Final answer
    x = 7,831.22

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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.