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Finding the Fourth Proportional to 10,522.61, 15,782.90 and 3,502.34

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Solution

The fourth proportional to 10,522.61, 15,782.90 and 3,502.34 is: 5,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.61 : 15,782.90 = 3,502.34 : x
  2. Step 2: Convert to fraction form
    10,522.61/15,782.90 = 3,502.34/x
  3. Step 3: Cross multiply
    10,522.61x = 15,782.90 × 3,502.34
  4. Step 4: Simplify right side
    10,522.61x = 55,276,985.56
  5. Step 5: Solve for x
    x = 55,276,985.56/10,522.61
  6. Step 6: Final answer
    x = 5,253.17

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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.