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Finding the Fourth Proportional to 7,235.80, 10,853.70 and 1,970.80

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Solution

The fourth proportional to 7,235.80, 10,853.70 and 1,970.80 is: 2,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.80 : 10,853.70 = 1,970.80 : x
  2. Step 2: Convert to fraction form
    7,235.80/10,853.70 = 1,970.80/x
  3. Step 3: Cross multiply
    7,235.80x = 10,853.70 × 1,970.80
  4. Step 4: Simplify right side
    7,235.80x = 21,390,471.96
  5. Step 5: Solve for x
    x = 21,390,471.96/7,235.80
  6. Step 6: Final answer
    x = 2,956.20

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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.