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Finding the Fourth Proportional to 6,443.52, 9,652.48 and 4,705.28

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Solution

The fourth proportional to 6,443.52, 9,652.48 and 4,705.28 is: 7,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.52 : 9,652.48 = 4,705.28 : x
  2. Step 2: Convert to fraction form
    6,443.52/9,652.48 = 4,705.28/x
  3. Step 3: Cross multiply
    6,443.52x = 9,652.48 × 4,705.28
  4. Step 4: Simplify right side
    6,443.52x = 45,417,621.09
  5. Step 5: Solve for x
    x = 45,417,621.09/6,443.52
  6. Step 6: Final answer
    x = 7,048.57

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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.