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Finding the Fourth Proportional to 17,152.80, 23,670.60 and 9,599

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Solution

The fourth proportional to 17,152.80, 23,670.60 and 9,599 is: 13,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.80 : 23,670.60 = 9,599 : x
  2. Step 2: Convert to fraction form
    17,152.80/23,670.60 = 9,599/x
  3. Step 3: Cross multiply
    17,152.80x = 23,670.60 × 9,599
  4. Step 4: Simplify right side
    17,152.80x = 227,214,089.40
  5. Step 5: Solve for x
    x = 227,214,089.40/17,152.80
  6. Step 6: Final answer
    x = 13,246.47

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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.