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Finding the Fourth Proportional to 9,549.71, 13,166.47 and 6,827.50

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Solution

The fourth proportional to 9,549.71, 13,166.47 and 6,827.50 is: 9,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.71 : 13,166.47 = 6,827.50 : x
  2. Step 2: Convert to fraction form
    9,549.71/13,166.47 = 6,827.50/x
  3. Step 3: Cross multiply
    9,549.71x = 13,166.47 × 6,827.50
  4. Step 4: Simplify right side
    9,549.71x = 89,894,073.93
  5. Step 5: Solve for x
    x = 89,894,073.93/9,549.71
  6. Step 6: Final answer
    x = 9,413.28

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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.