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Finding the Fourth Proportional to 9,569.95, 13,203.48 and 5,791.91

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Solution

The fourth proportional to 9,569.95, 13,203.48 and 5,791.91 is: 7,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.95 : 13,203.48 = 5,791.91 : x
  2. Step 2: Convert to fraction form
    9,569.95/13,203.48 = 5,791.91/x
  3. Step 3: Cross multiply
    9,569.95x = 13,203.48 × 5,791.91
  4. Step 4: Simplify right side
    9,569.95x = 76,473,301.83
  5. Step 5: Solve for x
    x = 76,473,301.83/9,569.95
  6. Step 6: Final answer
    x = 7,990.98

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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.