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Finding the Fourth Proportional to 10,577.96, 14,597.10 and 5,862.20

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Solution

The fourth proportional to 10,577.96, 14,597.10 and 5,862.20 is: 8,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.96 : 14,597.10 = 5,862.20 : x
  2. Step 2: Convert to fraction form
    10,577.96/14,597.10 = 5,862.20/x
  3. Step 3: Cross multiply
    10,577.96x = 14,597.10 × 5,862.20
  4. Step 4: Simplify right side
    10,577.96x = 85,571,119.62
  5. Step 5: Solve for x
    x = 85,571,119.62/10,577.96
  6. Step 6: Final answer
    x = 8,089.57

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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.