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Finding the Fourth Proportional to 7,776.65, 10,732.70 and 4,420.51

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Solution

The fourth proportional to 7,776.65, 10,732.70 and 4,420.51 is: 6,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.65 : 10,732.70 = 4,420.51 : x
  2. Step 2: Convert to fraction form
    7,776.65/10,732.70 = 4,420.51/x
  3. Step 3: Cross multiply
    7,776.65x = 10,732.70 × 4,420.51
  4. Step 4: Simplify right side
    7,776.65x = 47,444,007.68
  5. Step 5: Solve for x
    x = 47,444,007.68/7,776.65
  6. Step 6: Final answer
    x = 6,100.83

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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.