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Finding the Fourth Proportional to 7,094.64, 10,641.96 and 3,200.16

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Solution

The fourth proportional to 7,094.64, 10,641.96 and 3,200.16 is: 4,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.64 : 10,641.96 = 3,200.16 : x
  2. Step 2: Convert to fraction form
    7,094.64/10,641.96 = 3,200.16/x
  3. Step 3: Cross multiply
    7,094.64x = 10,641.96 × 3,200.16
  4. Step 4: Simplify right side
    7,094.64x = 34,055,974.71
  5. Step 5: Solve for x
    x = 34,055,974.71/7,094.64
  6. Step 6: Final answer
    x = 4,800.24

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Similar ratio
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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.