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Finding the Fourth Proportional to 7,414, 10,230.16 and 5,622.48

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Solution

The fourth proportional to 7,414, 10,230.16 and 5,622.48 is: 7,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414 : 10,230.16 = 5,622.48 : x
  2. Step 2: Convert to fraction form
    7,414/10,230.16 = 5,622.48/x
  3. Step 3: Cross multiply
    7,414x = 10,230.16 × 5,622.48
  4. Step 4: Simplify right side
    7,414x = 57,518,870.00
  5. Step 5: Solve for x
    x = 57,518,870.00/7,414
  6. Step 6: Final answer
    x = 7,758.14

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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.