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Finding the Fourth Proportional to 4,657.66, 6,969.06 and 2,776.68

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Solution

The fourth proportional to 4,657.66, 6,969.06 and 2,776.68 is: 4,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.66 : 6,969.06 = 2,776.68 : x
  2. Step 2: Convert to fraction form
    4,657.66/6,969.06 = 2,776.68/x
  3. Step 3: Cross multiply
    4,657.66x = 6,969.06 × 2,776.68
  4. Step 4: Simplify right side
    4,657.66x = 19,350,849.52
  5. Step 5: Solve for x
    x = 19,350,849.52/4,657.66
  6. Step 6: Final answer
    x = 4,154.63

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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.