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Finding the Fourth Proportional to 16,952, 23,394.72 and 9,500.48

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Solution

The fourth proportional to 16,952, 23,394.72 and 9,500.48 is: 13,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952 : 23,394.72 = 9,500.48 : x
  2. Step 2: Convert to fraction form
    16,952/23,394.72 = 9,500.48/x
  3. Step 3: Cross multiply
    16,952x = 23,394.72 × 9,500.48
  4. Step 4: Simplify right side
    16,952x = 222,261,069.47
  5. Step 5: Solve for x
    x = 222,261,069.47/16,952
  6. Step 6: Final answer
    x = 13,111.20

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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.