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Finding the Fourth Proportional to 6,973.08, 10,448.47 and 6,264.96

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Solution

The fourth proportional to 6,973.08, 10,448.47 and 6,264.96 is: 9,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.08 : 10,448.47 = 6,264.96 : x
  2. Step 2: Convert to fraction form
    6,973.08/10,448.47 = 6,264.96/x
  3. Step 3: Cross multiply
    6,973.08x = 10,448.47 × 6,264.96
  4. Step 4: Simplify right side
    6,973.08x = 65,459,246.61
  5. Step 5: Solve for x
    x = 65,459,246.61/6,973.08
  6. Step 6: Final answer
    x = 9,387.42

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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.