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Finding the Fourth Proportional to 7,448, 11,154.12 and 6,223.28

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Solution

The fourth proportional to 7,448, 11,154.12 and 6,223.28 is: 9,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448 : 11,154.12 = 6,223.28 : x
  2. Step 2: Convert to fraction form
    7,448/11,154.12 = 6,223.28/x
  3. Step 3: Cross multiply
    7,448x = 11,154.12 × 6,223.28
  4. Step 4: Simplify right side
    7,448x = 69,415,211.91
  5. Step 5: Solve for x
    x = 69,415,211.91/7,448
  6. Step 6: Final answer
    x = 9,319.98

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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.