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Finding the Fourth Proportional to 7,065.20, 10,597.80 and 6,384.80

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Solution

The fourth proportional to 7,065.20, 10,597.80 and 6,384.80 is: 9,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.20 : 10,597.80 = 6,384.80 : x
  2. Step 2: Convert to fraction form
    7,065.20/10,597.80 = 6,384.80/x
  3. Step 3: Cross multiply
    7,065.20x = 10,597.80 × 6,384.80
  4. Step 4: Simplify right side
    7,065.20x = 67,664,833.44
  5. Step 5: Solve for x
    x = 67,664,833.44/7,065.20
  6. Step 6: Final answer
    x = 9,577.20

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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.