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Finding the Fourth Proportional to 6,355.20, 9,532.80 and 1,973.10

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Solution

The fourth proportional to 6,355.20, 9,532.80 and 1,973.10 is: 2,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.20 : 9,532.80 = 1,973.10 : x
  2. Step 2: Convert to fraction form
    6,355.20/9,532.80 = 1,973.10/x
  3. Step 3: Cross multiply
    6,355.20x = 9,532.80 × 1,973.10
  4. Step 4: Simplify right side
    6,355.20x = 18,809,167.68
  5. Step 5: Solve for x
    x = 18,809,167.68/6,355.20
  6. Step 6: Final answer
    x = 2,959.65

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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.