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Finding the Fourth Proportional to 7,755.76, 10,702.66 and 4,218.92

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Solution

The fourth proportional to 7,755.76, 10,702.66 and 4,218.92 is: 5,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.76 : 10,702.66 = 4,218.92 : x
  2. Step 2: Convert to fraction form
    7,755.76/10,702.66 = 4,218.92/x
  3. Step 3: Cross multiply
    7,755.76x = 10,702.66 × 4,218.92
  4. Step 4: Simplify right side
    7,755.76x = 45,153,666.33
  5. Step 5: Solve for x
    x = 45,153,666.33/7,755.76
  6. Step 6: Final answer
    x = 5,821.95

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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.