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Finding the Fourth Proportional to 6,368.32, 9,552.90 and 1,688.26

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Solution

The fourth proportional to 6,368.32, 9,552.90 and 1,688.26 is: 2,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.32 : 9,552.90 = 1,688.26 : x
  2. Step 2: Convert to fraction form
    6,368.32/9,552.90 = 1,688.26/x
  3. Step 3: Cross multiply
    6,368.32x = 9,552.90 × 1,688.26
  4. Step 4: Simplify right side
    6,368.32x = 16,127,778.95
  5. Step 5: Solve for x
    x = 16,127,778.95/6,368.32
  6. Step 6: Final answer
    x = 2,532.50

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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.