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Finding the Fourth Proportional to 6,031.53, 9,047.36 and 1,648.99

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Solution

The fourth proportional to 6,031.53, 9,047.36 and 1,648.99 is: 2,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.53 : 9,047.36 = 1,648.99 : x
  2. Step 2: Convert to fraction form
    6,031.53/9,047.36 = 1,648.99/x
  3. Step 3: Cross multiply
    6,031.53x = 9,047.36 × 1,648.99
  4. Step 4: Simplify right side
    6,031.53x = 14,918,987.67
  5. Step 5: Solve for x
    x = 14,918,987.67/6,031.53
  6. Step 6: Final answer
    x = 2,473.50

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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.