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Finding the Fourth Proportional to 6,498.94, 8,962.65 and 4,260.01

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Solution

The fourth proportional to 6,498.94, 8,962.65 and 4,260.01 is: 5,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.94 : 8,962.65 = 4,260.01 : x
  2. Step 2: Convert to fraction form
    6,498.94/8,962.65 = 4,260.01/x
  3. Step 3: Cross multiply
    6,498.94x = 8,962.65 × 4,260.01
  4. Step 4: Simplify right side
    6,498.94x = 38,180,978.63
  5. Step 5: Solve for x
    x = 38,180,978.63/6,498.94
  6. Step 6: Final answer
    x = 5,874.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.