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Finding the Fourth Proportional to 29,685.42, 44,528.14 and 9,964.49

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Solution

The fourth proportional to 29,685.42, 44,528.14 and 9,964.49 is: 14,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.42 : 44,528.14 = 9,964.49 : x
  2. Step 2: Convert to fraction form
    29,685.42/44,528.14 = 9,964.49/x
  3. Step 3: Cross multiply
    29,685.42x = 44,528.14 × 9,964.49
  4. Step 4: Simplify right side
    29,685.42x = 443,700,205.75
  5. Step 5: Solve for x
    x = 443,700,205.75/29,685.42
  6. Step 6: Final answer
    x = 14,946.74

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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.