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Finding the Fourth Proportional to 17,462.51, 24,097.47 and 9,504.71

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Solution

The fourth proportional to 17,462.51, 24,097.47 and 9,504.71 is: 13,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462.51 : 24,097.47 = 9,504.71 : x
  2. Step 2: Convert to fraction form
    17,462.51/24,097.47 = 9,504.71/x
  3. Step 3: Cross multiply
    17,462.51x = 24,097.47 × 9,504.71
  4. Step 4: Simplify right side
    17,462.51x = 229,039,464.08
  5. Step 5: Solve for x
    x = 229,039,464.08/17,462.51
  6. Step 6: Final answer
    x = 13,116.07

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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.