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Finding the Fourth Proportional to 7,052.49, 9,728.10 and 4,662.48

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Solution

The fourth proportional to 7,052.49, 9,728.10 and 4,662.48 is: 6,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.49 : 9,728.10 = 4,662.48 : x
  2. Step 2: Convert to fraction form
    7,052.49/9,728.10 = 4,662.48/x
  3. Step 3: Cross multiply
    7,052.49x = 9,728.10 × 4,662.48
  4. Step 4: Simplify right side
    7,052.49x = 45,357,071.69
  5. Step 5: Solve for x
    x = 45,357,071.69/7,052.49
  6. Step 6: Final answer
    x = 6,431.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.