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Finding the Fourth Proportional to 7,036.67, 9,712.51 and 4,382.51

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Solution

The fourth proportional to 7,036.67, 9,712.51 and 4,382.51 is: 6,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.67 : 9,712.51 = 4,382.51 : x
  2. Step 2: Convert to fraction form
    7,036.67/9,712.51 = 4,382.51/x
  3. Step 3: Cross multiply
    7,036.67x = 9,712.51 × 4,382.51
  4. Step 4: Simplify right side
    7,036.67x = 42,565,112.68
  5. Step 5: Solve for x
    x = 42,565,112.68/7,036.67
  6. Step 6: Final answer
    x = 6,049.04

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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.