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Finding the Fourth Proportional to 9,672.70, 14,509.05 and 2,746.30

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Solution

The fourth proportional to 9,672.70, 14,509.05 and 2,746.30 is: 4,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.70 : 14,509.05 = 2,746.30 : x
  2. Step 2: Convert to fraction form
    9,672.70/14,509.05 = 2,746.30/x
  3. Step 3: Cross multiply
    9,672.70x = 14,509.05 × 2,746.30
  4. Step 4: Simplify right side
    9,672.70x = 39,846,204.02
  5. Step 5: Solve for x
    x = 39,846,204.02/9,672.70
  6. Step 6: Final answer
    x = 4,119.45

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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.