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Finding the Fourth Proportional to 10,275.60, 15,420.60 and 6,586.80

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Solution

The fourth proportional to 10,275.60, 15,420.60 and 6,586.80 is: 9,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.60 : 15,420.60 = 6,586.80 : x
  2. Step 2: Convert to fraction form
    10,275.60/15,420.60 = 6,586.80/x
  3. Step 3: Cross multiply
    10,275.60x = 15,420.60 × 6,586.80
  4. Step 4: Simplify right side
    10,275.60x = 101,572,408.08
  5. Step 5: Solve for x
    x = 101,572,408.08/10,275.60
  6. Step 6: Final answer
    x = 9,884.82

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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.