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Finding the Fourth Proportional to 7,032.97, 9,705.63 and 4,049.38

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Solution

The fourth proportional to 7,032.97, 9,705.63 and 4,049.38 is: 5,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.97 : 9,705.63 = 4,049.38 : x
  2. Step 2: Convert to fraction form
    7,032.97/9,705.63 = 4,049.38/x
  3. Step 3: Cross multiply
    7,032.97x = 9,705.63 × 4,049.38
  4. Step 4: Simplify right side
    7,032.97x = 39,301,784.01
  5. Step 5: Solve for x
    x = 39,301,784.01/7,032.97
  6. Step 6: Final answer
    x = 5,588.22

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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.