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Finding the Fourth Proportional to 9,801.48, 14,702.46 and 2,876.20

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Solution

The fourth proportional to 9,801.48, 14,702.46 and 2,876.20 is: 4,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.48 : 14,702.46 = 2,876.20 : x
  2. Step 2: Convert to fraction form
    9,801.48/14,702.46 = 2,876.20/x
  3. Step 3: Cross multiply
    9,801.48x = 14,702.46 × 2,876.20
  4. Step 4: Simplify right side
    9,801.48x = 42,287,215.45
  5. Step 5: Solve for x
    x = 42,287,215.45/9,801.48
  6. Step 6: Final answer
    x = 4,314.37

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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.