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Finding the Fourth Proportional to 9,957.75, 13,742.61 and 5,482.41

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Solution

The fourth proportional to 9,957.75, 13,742.61 and 5,482.41 is: 7,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.75 : 13,742.61 = 5,482.41 : x
  2. Step 2: Convert to fraction form
    9,957.75/13,742.61 = 5,482.41/x
  3. Step 3: Cross multiply
    9,957.75x = 13,742.61 × 5,482.41
  4. Step 4: Simplify right side
    9,957.75x = 75,342,622.49
  5. Step 5: Solve for x
    x = 75,342,622.49/9,957.75
  6. Step 6: Final answer
    x = 7,566.23

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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.