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Finding the Fourth Proportional to 13,312.54, 18,371 and 7,344.10

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Solution

The fourth proportional to 13,312.54, 18,371 and 7,344.10 is: 10,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.54 : 18,371 = 7,344.10 : x
  2. Step 2: Convert to fraction form
    13,312.54/18,371 = 7,344.10/x
  3. Step 3: Cross multiply
    13,312.54x = 18,371 × 7,344.10
  4. Step 4: Simplify right side
    13,312.54x = 134,918,461.10
  5. Step 5: Solve for x
    x = 134,918,461.10/13,312.54
  6. Step 6: Final answer
    x = 10,134.69

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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.