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Finding the Fourth Proportional to 11,302.00, 15,595.99 and 6,522.14

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Solution

The fourth proportional to 11,302.00, 15,595.99 and 6,522.14 is: 9,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.00 : 15,595.99 = 6,522.14 : x
  2. Step 2: Convert to fraction form
    11,302.00/15,595.99 = 6,522.14/x
  3. Step 3: Cross multiply
    11,302.00x = 15,595.99 × 6,522.14
  4. Step 4: Simplify right side
    11,302.00x = 101,719,245.73
  5. Step 5: Solve for x
    x = 101,719,245.73/11,302.00
  6. Step 6: Final answer
    x = 9,000.11

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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.