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Finding the Fourth Proportional to 7,302.67, 10,946.71 and 2,854.23

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Solution

The fourth proportional to 7,302.67, 10,946.71 and 2,854.23 is: 4,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.67 : 10,946.71 = 2,854.23 : x
  2. Step 2: Convert to fraction form
    7,302.67/10,946.71 = 2,854.23/x
  3. Step 3: Cross multiply
    7,302.67x = 10,946.71 × 2,854.23
  4. Step 4: Simplify right side
    7,302.67x = 31,244,393.58
  5. Step 5: Solve for x
    x = 31,244,393.58/7,302.67
  6. Step 6: Final answer
    x = 4,278.49

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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.