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Finding the Fourth Proportional to 13,343.84, 19,989.84 and 6,423.20

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Solution

The fourth proportional to 13,343.84, 19,989.84 and 6,423.20 is: 9,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.84 : 19,989.84 = 6,423.20 : x
  2. Step 2: Convert to fraction form
    13,343.84/19,989.84 = 6,423.20/x
  3. Step 3: Cross multiply
    13,343.84x = 19,989.84 × 6,423.20
  4. Step 4: Simplify right side
    13,343.84x = 128,398,740.29
  5. Step 5: Solve for x
    x = 128,398,740.29/13,343.84
  6. Step 6: Final answer
    x = 9,622.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.