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Finding the Fourth Proportional to 10,522.63, 15,774.09 and 5,254.39

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Solution

The fourth proportional to 10,522.63, 15,774.09 and 5,254.39 is: 7,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.63 : 15,774.09 = 5,254.39 : x
  2. Step 2: Convert to fraction form
    10,522.63/15,774.09 = 5,254.39/x
  3. Step 3: Cross multiply
    10,522.63x = 15,774.09 × 5,254.39
  4. Step 4: Simplify right side
    10,522.63x = 82,883,220.76
  5. Step 5: Solve for x
    x = 82,883,220.76/10,522.63
  6. Step 6: Final answer
    x = 7,876.66

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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.