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Finding the Fourth Proportional to 6,300.02, 9,487.52 and 5,488.10

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Solution

The fourth proportional to 6,300.02, 9,487.52 and 5,488.10 is: 8,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.02 : 9,487.52 = 5,488.10 : x
  2. Step 2: Convert to fraction form
    6,300.02/9,487.52 = 5,488.10/x
  3. Step 3: Cross multiply
    6,300.02x = 9,487.52 × 5,488.10
  4. Step 4: Simplify right side
    6,300.02x = 52,068,458.51
  5. Step 5: Solve for x
    x = 52,068,458.51/6,300.02
  6. Step 6: Final answer
    x = 8,264.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.