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Finding the Fourth Proportional to 7,282.40, 10,923.60 and 5,314.10

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Solution

The fourth proportional to 7,282.40, 10,923.60 and 5,314.10 is: 7,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.40 : 10,923.60 = 5,314.10 : x
  2. Step 2: Convert to fraction form
    7,282.40/10,923.60 = 5,314.10/x
  3. Step 3: Cross multiply
    7,282.40x = 10,923.60 × 5,314.10
  4. Step 4: Simplify right side
    7,282.40x = 58,049,102.76
  5. Step 5: Solve for x
    x = 58,049,102.76/7,282.40
  6. Step 6: Final answer
    x = 7,971.15

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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.