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Finding the Fourth Proportional to 7,299.64, 10,956.72 and 3,406.76

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Solution

The fourth proportional to 7,299.64, 10,956.72 and 3,406.76 is: 5,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.64 : 10,956.72 = 3,406.76 : x
  2. Step 2: Convert to fraction form
    7,299.64/10,956.72 = 3,406.76/x
  3. Step 3: Cross multiply
    7,299.64x = 10,956.72 × 3,406.76
  4. Step 4: Simplify right side
    7,299.64x = 37,326,915.43
  5. Step 5: Solve for x
    x = 37,326,915.43/7,299.64
  6. Step 6: Final answer
    x = 5,113.53

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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.