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Finding the Fourth Proportional to 6,854.16, 10,275.72 and 6,467.76

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Solution

The fourth proportional to 6,854.16, 10,275.72 and 6,467.76 is: 9,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.16 : 10,275.72 = 6,467.76 : x
  2. Step 2: Convert to fraction form
    6,854.16/10,275.72 = 6,467.76/x
  3. Step 3: Cross multiply
    6,854.16x = 10,275.72 × 6,467.76
  4. Step 4: Simplify right side
    6,854.16x = 66,460,890.79
  5. Step 5: Solve for x
    x = 66,460,890.79/6,854.16
  6. Step 6: Final answer
    x = 9,696.43

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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.