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Finding the Fourth Proportional to 6,032.53, 9,048.86 and 1,649.99

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Solution

The fourth proportional to 6,032.53, 9,048.86 and 1,649.99 is: 2,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.53 : 9,048.86 = 1,649.99 : x
  2. Step 2: Convert to fraction form
    6,032.53/9,048.86 = 1,649.99/x
  3. Step 3: Cross multiply
    6,032.53x = 9,048.86 × 1,649.99
  4. Step 4: Simplify right side
    6,032.53x = 14,930,528.51
  5. Step 5: Solve for x
    x = 14,930,528.51/6,032.53
  6. Step 6: Final answer
    x = 2,475.00

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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.