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Finding the Fourth Proportional to 7,776.52, 10,731.80 and 4,794.32

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Solution

The fourth proportional to 7,776.52, 10,731.80 and 4,794.32 is: 6,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.52 : 10,731.80 = 4,794.32 : x
  2. Step 2: Convert to fraction form
    7,776.52/10,731.80 = 4,794.32/x
  3. Step 3: Cross multiply
    7,776.52x = 10,731.80 × 4,794.32
  4. Step 4: Simplify right side
    7,776.52x = 51,451,683.38
  5. Step 5: Solve for x
    x = 51,451,683.38/7,776.52
  6. Step 6: Final answer
    x = 6,616.29

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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.