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Finding the Fourth Proportional to 9,864.66, 14,777.55 and 5,976.66

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Solution

The fourth proportional to 9,864.66, 14,777.55 and 5,976.66 is: 8,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.66 : 14,777.55 = 5,976.66 : x
  2. Step 2: Convert to fraction form
    9,864.66/14,777.55 = 5,976.66/x
  3. Step 3: Cross multiply
    9,864.66x = 14,777.55 × 5,976.66
  4. Step 4: Simplify right side
    9,864.66x = 88,320,391.98
  5. Step 5: Solve for x
    x = 88,320,391.98/9,864.66
  6. Step 6: Final answer
    x = 8,953.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.