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Finding the Fourth Proportional to 12,242.54, 16,894.64 and 6,938.36

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Solution

The fourth proportional to 12,242.54, 16,894.64 and 6,938.36 is: 9,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.54 : 16,894.64 = 6,938.36 : x
  2. Step 2: Convert to fraction form
    12,242.54/16,894.64 = 6,938.36/x
  3. Step 3: Cross multiply
    12,242.54x = 16,894.64 × 6,938.36
  4. Step 4: Simplify right side
    12,242.54x = 117,221,094.39
  5. Step 5: Solve for x
    x = 117,221,094.39/12,242.54
  6. Step 6: Final answer
    x = 9,574.90

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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.