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Finding the Fourth Proportional to 12,275.72, 16,941.16 and 7,242.89

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Solution

The fourth proportional to 12,275.72, 16,941.16 and 7,242.89 is: 9,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.72 : 16,941.16 = 7,242.89 : x
  2. Step 2: Convert to fraction form
    12,275.72/16,941.16 = 7,242.89/x
  3. Step 3: Cross multiply
    12,275.72x = 16,941.16 × 7,242.89
  4. Step 4: Simplify right side
    12,275.72x = 122,702,958.35
  5. Step 5: Solve for x
    x = 122,702,958.35/12,275.72
  6. Step 6: Final answer
    x = 9,995.58

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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.