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Finding the Fourth Proportional to 10,572.99, 14,591.64 and 6,098.22

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Solution

The fourth proportional to 10,572.99, 14,591.64 and 6,098.22 is: 8,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.99 : 14,591.64 = 6,098.22 : x
  2. Step 2: Convert to fraction form
    10,572.99/14,591.64 = 6,098.22/x
  3. Step 3: Cross multiply
    10,572.99x = 14,591.64 × 6,098.22
  4. Step 4: Simplify right side
    10,572.99x = 88,983,030.88
  5. Step 5: Solve for x
    x = 88,983,030.88/10,572.99
  6. Step 6: Final answer
    x = 8,416.07

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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.