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Finding the Fourth Proportional to 7,152.30, 10,728.46 and 5,834.64

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Solution

The fourth proportional to 7,152.30, 10,728.46 and 5,834.64 is: 8,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.30 : 10,728.46 = 5,834.64 : x
  2. Step 2: Convert to fraction form
    7,152.30/10,728.46 = 5,834.64/x
  3. Step 3: Cross multiply
    7,152.30x = 10,728.46 × 5,834.64
  4. Step 4: Simplify right side
    7,152.30x = 62,596,619.04
  5. Step 5: Solve for x
    x = 62,596,619.04/7,152.30
  6. Step 6: Final answer
    x = 8,751.95

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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.