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Finding the Fourth Proportional to 6,516.88, 9,750.48 and 5,730.64

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Solution

The fourth proportional to 6,516.88, 9,750.48 and 5,730.64 is: 8,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.88 : 9,750.48 = 5,730.64 : x
  2. Step 2: Convert to fraction form
    6,516.88/9,750.48 = 5,730.64/x
  3. Step 3: Cross multiply
    6,516.88x = 9,750.48 × 5,730.64
  4. Step 4: Simplify right side
    6,516.88x = 55,876,490.71
  5. Step 5: Solve for x
    x = 55,876,490.71/6,516.88
  6. Step 6: Final answer
    x = 8,574.12

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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.