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Finding the Fourth Proportional to 7,077.54, 9,767.08 and 4,426.50

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Solution

The fourth proportional to 7,077.54, 9,767.08 and 4,426.50 is: 6,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.54 : 9,767.08 = 4,426.50 : x
  2. Step 2: Convert to fraction form
    7,077.54/9,767.08 = 4,426.50/x
  3. Step 3: Cross multiply
    7,077.54x = 9,767.08 × 4,426.50
  4. Step 4: Simplify right side
    7,077.54x = 43,233,979.62
  5. Step 5: Solve for x
    x = 43,233,979.62/7,077.54
  6. Step 6: Final answer
    x = 6,108.62

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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.