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Finding the Fourth Proportional to 10,645.60, 15,946.80 and 6,023.20

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Solution

The fourth proportional to 10,645.60, 15,946.80 and 6,023.20 is: 9,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.60 : 15,946.80 = 6,023.20 : x
  2. Step 2: Convert to fraction form
    10,645.60/15,946.80 = 6,023.20/x
  3. Step 3: Cross multiply
    10,645.60x = 15,946.80 × 6,023.20
  4. Step 4: Simplify right side
    10,645.60x = 96,050,765.76
  5. Step 5: Solve for x
    x = 96,050,765.76/10,645.60
  6. Step 6: Final answer
    x = 9,022.58

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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.