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Finding the Fourth Proportional to 9,805.62, 14,696.28 and 4,600.56

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Solution

The fourth proportional to 9,805.62, 14,696.28 and 4,600.56 is: 6,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.62 : 14,696.28 = 4,600.56 : x
  2. Step 2: Convert to fraction form
    9,805.62/14,696.28 = 4,600.56/x
  3. Step 3: Cross multiply
    9,805.62x = 14,696.28 × 4,600.56
  4. Step 4: Simplify right side
    9,805.62x = 67,611,117.92
  5. Step 5: Solve for x
    x = 67,611,117.92/9,805.62
  6. Step 6: Final answer
    x = 6,895.14

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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.