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Finding the Fourth Proportional to 7,150.32, 9,868.32 and 4,497.84

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Solution

The fourth proportional to 7,150.32, 9,868.32 and 4,497.84 is: 6,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.32 : 9,868.32 = 4,497.84 : x
  2. Step 2: Convert to fraction form
    7,150.32/9,868.32 = 4,497.84/x
  3. Step 3: Cross multiply
    7,150.32x = 9,868.32 × 4,497.84
  4. Step 4: Simplify right side
    7,150.32x = 44,386,124.43
  5. Step 5: Solve for x
    x = 44,386,124.43/7,150.32
  6. Step 6: Final answer
    x = 6,207.57

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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.