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Finding the Fourth Proportional to 24,973.05, 37,447.82 and 9,167.05

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Solution

The fourth proportional to 24,973.05, 37,447.82 and 9,167.05 is: 13,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.05 : 37,447.82 = 9,167.05 : x
  2. Step 2: Convert to fraction form
    24,973.05/37,447.82 = 9,167.05/x
  3. Step 3: Cross multiply
    24,973.05x = 37,447.82 × 9,167.05
  4. Step 4: Simplify right side
    24,973.05x = 343,286,038.33
  5. Step 5: Solve for x
    x = 343,286,038.33/24,973.05
  6. Step 6: Final answer
    x = 13,746.26

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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.