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Finding the Fourth Proportional to 6,570.80, 9,065.76 and 4,208.84

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Solution

The fourth proportional to 6,570.80, 9,065.76 and 4,208.84 is: 5,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.80 : 9,065.76 = 4,208.84 : x
  2. Step 2: Convert to fraction form
    6,570.80/9,065.76 = 4,208.84/x
  3. Step 3: Cross multiply
    6,570.80x = 9,065.76 × 4,208.84
  4. Step 4: Simplify right side
    6,570.80x = 38,156,333.32
  5. Step 5: Solve for x
    x = 38,156,333.32/6,570.80
  6. Step 6: Final answer
    x = 5,806.95

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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.