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Finding the Fourth Proportional to 7,106.70, 10,672.20 and 4,652.40

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Solution

The fourth proportional to 7,106.70, 10,672.20 and 4,652.40 is: 6,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.70 : 10,672.20 = 4,652.40 : x
  2. Step 2: Convert to fraction form
    7,106.70/10,672.20 = 4,652.40/x
  3. Step 3: Cross multiply
    7,106.70x = 10,672.20 × 4,652.40
  4. Step 4: Simplify right side
    7,106.70x = 49,651,343.28
  5. Step 5: Solve for x
    x = 49,651,343.28/7,106.70
  6. Step 6: Final answer
    x = 6,986.55

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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.