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Finding the Fourth Proportional to 9,964.54, 13,752.04 and 7,442.27

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Solution

The fourth proportional to 9,964.54, 13,752.04 and 7,442.27 is: 10,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.54 : 13,752.04 = 7,442.27 : x
  2. Step 2: Convert to fraction form
    9,964.54/13,752.04 = 7,442.27/x
  3. Step 3: Cross multiply
    9,964.54x = 13,752.04 × 7,442.27
  4. Step 4: Simplify right side
    9,964.54x = 102,346,441.65
  5. Step 5: Solve for x
    x = 102,346,441.65/9,964.54
  6. Step 6: Final answer
    x = 10,271.06

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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.