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Finding the Fourth Proportional to 4,532.95, 6,761.75 and 4,457.77

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Solution

The fourth proportional to 4,532.95, 6,761.75 and 4,457.77 is: 6,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.95 : 6,761.75 = 4,457.77 : x
  2. Step 2: Convert to fraction form
    4,532.95/6,761.75 = 4,457.77/x
  3. Step 3: Cross multiply
    4,532.95x = 6,761.75 × 4,457.77
  4. Step 4: Simplify right side
    4,532.95x = 30,142,320.54
  5. Step 5: Solve for x
    x = 30,142,320.54/4,532.95
  6. Step 6: Final answer
    x = 6,649.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.