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Finding the Fourth Proportional to 6,269.76, 9,404.64 and 2,802.24

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Solution

The fourth proportional to 6,269.76, 9,404.64 and 2,802.24 is: 4,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.76 : 9,404.64 = 2,802.24 : x
  2. Step 2: Convert to fraction form
    6,269.76/9,404.64 = 2,802.24/x
  3. Step 3: Cross multiply
    6,269.76x = 9,404.64 × 2,802.24
  4. Step 4: Simplify right side
    6,269.76x = 26,354,058.39
  5. Step 5: Solve for x
    x = 26,354,058.39/6,269.76
  6. Step 6: Final answer
    x = 4,203.36

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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.