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Finding the Fourth Proportional to 7,228.80, 9,975.60 and 4,711.20

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Solution

The fourth proportional to 7,228.80, 9,975.60 and 4,711.20 is: 6,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.80 : 9,975.60 = 4,711.20 : x
  2. Step 2: Convert to fraction form
    7,228.80/9,975.60 = 4,711.20/x
  3. Step 3: Cross multiply
    7,228.80x = 9,975.60 × 4,711.20
  4. Step 4: Simplify right side
    7,228.80x = 46,997,046.72
  5. Step 5: Solve for x
    x = 46,997,046.72/7,228.80
  6. Step 6: Final answer
    x = 6,501.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.