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Finding the Fourth Proportional to 13,023.84, 17,972.48 and 7,358.80

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Solution

The fourth proportional to 13,023.84, 17,972.48 and 7,358.80 is: 10,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.84 : 17,972.48 = 7,358.80 : x
  2. Step 2: Convert to fraction form
    13,023.84/17,972.48 = 7,358.80/x
  3. Step 3: Cross multiply
    13,023.84x = 17,972.48 × 7,358.80
  4. Step 4: Simplify right side
    13,023.84x = 132,255,885.82
  5. Step 5: Solve for x
    x = 132,255,885.82/13,023.84
  6. Step 6: Final answer
    x = 10,154.91

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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.