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Finding the Fourth Proportional to 17,085.76, 25,637.76 and 6,697.60

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Solution

The fourth proportional to 17,085.76, 25,637.76 and 6,697.60 is: 10,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.76 : 25,637.76 = 6,697.60 : x
  2. Step 2: Convert to fraction form
    17,085.76/25,637.76 = 6,697.60/x
  3. Step 3: Cross multiply
    17,085.76x = 25,637.76 × 6,697.60
  4. Step 4: Simplify right side
    17,085.76x = 171,711,461.38
  5. Step 5: Solve for x
    x = 171,711,461.38/17,085.76
  6. Step 6: Final answer
    x = 10,049.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.