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Finding the Fourth Proportional to 9,862.25, 14,791.73 and 2,935.13

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Solution

The fourth proportional to 9,862.25, 14,791.73 and 2,935.13 is: 4,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.25 : 14,791.73 = 2,935.13 : x
  2. Step 2: Convert to fraction form
    9,862.25/14,791.73 = 2,935.13/x
  3. Step 3: Cross multiply
    9,862.25x = 14,791.73 × 2,935.13
  4. Step 4: Simplify right side
    9,862.25x = 43,415,561.84
  5. Step 5: Solve for x
    x = 43,415,561.84/9,862.25
  6. Step 6: Final answer
    x = 4,402.20

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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.