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Finding the Fourth Proportional to 9,970.44, 14,946.14 and 3,728.76

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Solution

The fourth proportional to 9,970.44, 14,946.14 and 3,728.76 is: 5,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.44 : 14,946.14 = 3,728.76 : x
  2. Step 2: Convert to fraction form
    9,970.44/14,946.14 = 3,728.76/x
  3. Step 3: Cross multiply
    9,970.44x = 14,946.14 × 3,728.76
  4. Step 4: Simplify right side
    9,970.44x = 55,730,568.99
  5. Step 5: Solve for x
    x = 55,730,568.99/9,970.44
  6. Step 6: Final answer
    x = 5,589.58

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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.