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Finding the Fourth Proportional to 4,649.84, 6,972.56 and 1,726.32

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Solution

The fourth proportional to 4,649.84, 6,972.56 and 1,726.32 is: 2,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.84 : 6,972.56 = 1,726.32 : x
  2. Step 2: Convert to fraction form
    4,649.84/6,972.56 = 1,726.32/x
  3. Step 3: Cross multiply
    4,649.84x = 6,972.56 × 1,726.32
  4. Step 4: Simplify right side
    4,649.84x = 12,036,869.78
  5. Step 5: Solve for x
    x = 12,036,869.78/4,649.84
  6. Step 6: Final answer
    x = 2,588.66

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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.