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Finding the Fourth Proportional to 5,153.03, 7,726.99 and 1,642.58

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Solution

The fourth proportional to 5,153.03, 7,726.99 and 1,642.58 is: 2,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.03 : 7,726.99 = 1,642.58 : x
  2. Step 2: Convert to fraction form
    5,153.03/7,726.99 = 1,642.58/x
  3. Step 3: Cross multiply
    5,153.03x = 7,726.99 × 1,642.58
  4. Step 4: Simplify right side
    5,153.03x = 12,692,199.23
  5. Step 5: Solve for x
    x = 12,692,199.23/5,153.03
  6. Step 6: Final answer
    x = 2,463.06

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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.