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Finding the Fourth Proportional to 7,454, 10,275.98 and 5,328.96

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Solution

The fourth proportional to 7,454, 10,275.98 and 5,328.96 is: 7,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454 : 10,275.98 = 5,328.96 : x
  2. Step 2: Convert to fraction form
    7,454/10,275.98 = 5,328.96/x
  3. Step 3: Cross multiply
    7,454x = 10,275.98 × 5,328.96
  4. Step 4: Simplify right side
    7,454x = 54,760,286.38
  5. Step 5: Solve for x
    x = 54,760,286.38/7,454
  6. Step 6: Final answer
    x = 7,346.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.