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Finding the Fourth Proportional to 10,880.97, 15,017.97 and 6,166.16

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Solution

The fourth proportional to 10,880.97, 15,017.97 and 6,166.16 is: 8,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.97 : 15,017.97 = 6,166.16 : x
  2. Step 2: Convert to fraction form
    10,880.97/15,017.97 = 6,166.16/x
  3. Step 3: Cross multiply
    10,880.97x = 15,017.97 × 6,166.16
  4. Step 4: Simplify right side
    10,880.97x = 92,603,210.25
  5. Step 5: Solve for x
    x = 92,603,210.25/10,880.97
  6. Step 6: Final answer
    x = 8,510.57

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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.