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Finding the Fourth Proportional to 6,569.92, 9,848.32 and 2,406.40

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Solution

The fourth proportional to 6,569.92, 9,848.32 and 2,406.40 is: 3,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.92 : 9,848.32 = 2,406.40 : x
  2. Step 2: Convert to fraction form
    6,569.92/9,848.32 = 2,406.40/x
  3. Step 3: Cross multiply
    6,569.92x = 9,848.32 × 2,406.40
  4. Step 4: Simplify right side
    6,569.92x = 23,698,997.25
  5. Step 5: Solve for x
    x = 23,698,997.25/6,569.92
  6. Step 6: Final answer
    x = 3,607.20

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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.