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Finding the Fourth Proportional to 7,213.92, 9,955.80 and 4,070.70

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Solution

The fourth proportional to 7,213.92, 9,955.80 and 4,070.70 is: 5,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.92 : 9,955.80 = 4,070.70 : x
  2. Step 2: Convert to fraction form
    7,213.92/9,955.80 = 4,070.70/x
  3. Step 3: Cross multiply
    7,213.92x = 9,955.80 × 4,070.70
  4. Step 4: Simplify right side
    7,213.92x = 40,527,075.06
  5. Step 5: Solve for x
    x = 40,527,075.06/7,213.92
  6. Step 6: Final answer
    x = 5,617.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.