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Finding the Fourth Proportional to 10,811.60, 16,211.76 and 7,301.48

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Solution

The fourth proportional to 10,811.60, 16,211.76 and 7,301.48 is: 10,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.60 : 16,211.76 = 7,301.48 : x
  2. Step 2: Convert to fraction form
    10,811.60/16,211.76 = 7,301.48/x
  3. Step 3: Cross multiply
    10,811.60x = 16,211.76 × 7,301.48
  4. Step 4: Simplify right side
    10,811.60x = 118,369,841.40
  5. Step 5: Solve for x
    x = 118,369,841.40/10,811.60
  6. Step 6: Final answer
    x = 10,948.41

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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.