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Finding the Fourth Proportional to 10,058.39, 15,019.84 and 8,213.11

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Solution

The fourth proportional to 10,058.39, 15,019.84 and 8,213.11 is: 12,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.39 : 15,019.84 = 8,213.11 : x
  2. Step 2: Convert to fraction form
    10,058.39/15,019.84 = 8,213.11/x
  3. Step 3: Cross multiply
    10,058.39x = 15,019.84 × 8,213.11
  4. Step 4: Simplify right side
    10,058.39x = 123,359,598.10
  5. Step 5: Solve for x
    x = 123,359,598.10/10,058.39
  6. Step 6: Final answer
    x = 12,264.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.