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Finding the Fourth Proportional to 10,357.20, 15,535.80 and 7,765.20

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Solution

The fourth proportional to 10,357.20, 15,535.80 and 7,765.20 is: 11,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.20 : 15,535.80 = 7,765.20 : x
  2. Step 2: Convert to fraction form
    10,357.20/15,535.80 = 7,765.20/x
  3. Step 3: Cross multiply
    10,357.20x = 15,535.80 × 7,765.20
  4. Step 4: Simplify right side
    10,357.20x = 120,638,594.16
  5. Step 5: Solve for x
    x = 120,638,594.16/10,357.20
  6. Step 6: Final answer
    x = 11,647.80

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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.