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Finding the Fourth Proportional to 12,523.63, 17,283.14 and 6,934.63

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Solution

The fourth proportional to 12,523.63, 17,283.14 and 6,934.63 is: 9,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.63 : 17,283.14 = 6,934.63 : x
  2. Step 2: Convert to fraction form
    12,523.63/17,283.14 = 6,934.63/x
  3. Step 3: Cross multiply
    12,523.63x = 17,283.14 × 6,934.63
  4. Step 4: Simplify right side
    12,523.63x = 119,852,181.14
  5. Step 5: Solve for x
    x = 119,852,181.14/12,523.63
  6. Step 6: Final answer
    x = 9,570.08

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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.