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Finding the Fourth Proportional to 10,597.44, 14,624.04 and 5,882.04

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Solution

The fourth proportional to 10,597.44, 14,624.04 and 5,882.04 is: 8,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.44 : 14,624.04 = 5,882.04 : x
  2. Step 2: Convert to fraction form
    10,597.44/14,624.04 = 5,882.04/x
  3. Step 3: Cross multiply
    10,597.44x = 14,624.04 × 5,882.04
  4. Step 4: Simplify right side
    10,597.44x = 86,019,188.24
  5. Step 5: Solve for x
    x = 86,019,188.24/10,597.44
  6. Step 6: Final answer
    x = 8,116.98

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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.