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Finding the Fourth Proportional to 6,495.24, 9,728.28 and 6,276.54

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Solution

The fourth proportional to 6,495.24, 9,728.28 and 6,276.54 is: 9,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.24 : 9,728.28 = 6,276.54 : x
  2. Step 2: Convert to fraction form
    6,495.24/9,728.28 = 6,276.54/x
  3. Step 3: Cross multiply
    6,495.24x = 9,728.28 × 6,276.54
  4. Step 4: Simplify right side
    6,495.24x = 61,059,938.55
  5. Step 5: Solve for x
    x = 61,059,938.55/6,495.24
  6. Step 6: Final answer
    x = 9,400.72

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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.