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Finding the Fourth Proportional to 9,186.75, 12,677.76 and 4,995

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Solution

The fourth proportional to 9,186.75, 12,677.76 and 4,995 is: 6,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.75 : 12,677.76 = 4,995 : x
  2. Step 2: Convert to fraction form
    9,186.75/12,677.76 = 4,995/x
  3. Step 3: Cross multiply
    9,186.75x = 12,677.76 × 4,995
  4. Step 4: Simplify right side
    9,186.75x = 63,325,411.20
  5. Step 5: Solve for x
    x = 63,325,411.20/9,186.75
  6. Step 6: Final answer
    x = 6,893.12

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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.