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Finding the Fourth Proportional to 4,980.77, 7,472.14 and 1,470.84

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Solution

The fourth proportional to 4,980.77, 7,472.14 and 1,470.84 is: 2,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.77 : 7,472.14 = 1,470.84 : x
  2. Step 2: Convert to fraction form
    4,980.77/7,472.14 = 1,470.84/x
  3. Step 3: Cross multiply
    4,980.77x = 7,472.14 × 1,470.84
  4. Step 4: Simplify right side
    4,980.77x = 10,990,326.07
  5. Step 5: Solve for x
    x = 10,990,326.07/4,980.77
  6. Step 6: Final answer
    x = 2,206.55

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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.