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Finding the Fourth Proportional to 31,298.54, 46,949.03 and 7,925.59

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Solution

The fourth proportional to 31,298.54, 46,949.03 and 7,925.59 is: 11,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.54 : 46,949.03 = 7,925.59 : x
  2. Step 2: Convert to fraction form
    31,298.54/46,949.03 = 7,925.59/x
  3. Step 3: Cross multiply
    31,298.54x = 46,949.03 × 7,925.59
  4. Step 4: Simplify right side
    31,298.54x = 372,098,488.30
  5. Step 5: Solve for x
    x = 372,098,488.30/31,298.54
  6. Step 6: Final answer
    x = 11,888.69

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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.