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Finding the Fourth Proportional to 7,228.32, 9,975.12 and 4,084.80

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Solution

The fourth proportional to 7,228.32, 9,975.12 and 4,084.80 is: 5,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.32 : 9,975.12 = 4,084.80 : x
  2. Step 2: Convert to fraction form
    7,228.32/9,975.12 = 4,084.80/x
  3. Step 3: Cross multiply
    7,228.32x = 9,975.12 × 4,084.80
  4. Step 4: Simplify right side
    7,228.32x = 40,746,370.18
  5. Step 5: Solve for x
    x = 40,746,370.18/7,228.32
  6. Step 6: Final answer
    x = 5,637.05

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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.