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Finding the Fourth Proportional to 29,464.10, 44,203.06 and 9,742.65

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Solution

The fourth proportional to 29,464.10, 44,203.06 and 9,742.65 is: 14,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464.10 : 44,203.06 = 9,742.65 : x
  2. Step 2: Convert to fraction form
    29,464.10/44,203.06 = 9,742.65/x
  3. Step 3: Cross multiply
    29,464.10x = 44,203.06 × 9,742.65
  4. Step 4: Simplify right side
    29,464.10x = 430,654,942.51
  5. Step 5: Solve for x
    x = 430,654,942.51/29,464.10
  6. Step 6: Final answer
    x = 14,616.26

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1.5x scale

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.