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Finding the Fourth Proportional to 10,302.80, 15,421.80 and 8,099.60

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Solution

The fourth proportional to 10,302.80, 15,421.80 and 8,099.60 is: 12,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.80 : 15,421.80 = 8,099.60 : x
  2. Step 2: Convert to fraction form
    10,302.80/15,421.80 = 8,099.60/x
  3. Step 3: Cross multiply
    10,302.80x = 15,421.80 × 8,099.60
  4. Step 4: Simplify right side
    10,302.80x = 124,910,411.28
  5. Step 5: Solve for x
    x = 124,910,411.28/10,302.80
  6. Step 6: Final answer
    x = 12,123.93

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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.