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Finding the Fourth Proportional to 7,776.27, 10,727.88 and 4,942.13

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Solution

The fourth proportional to 7,776.27, 10,727.88 and 4,942.13 is: 6,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.27 : 10,727.88 = 4,942.13 : x
  2. Step 2: Convert to fraction form
    7,776.27/10,727.88 = 4,942.13/x
  3. Step 3: Cross multiply
    7,776.27x = 10,727.88 × 4,942.13
  4. Step 4: Simplify right side
    7,776.27x = 53,018,577.58
  5. Step 5: Solve for x
    x = 53,018,577.58/7,776.27
  6. Step 6: Final answer
    x = 6,818.00

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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.