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Finding the Fourth Proportional to 6,809.49, 10,200.06 and 6,574.50

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Solution

The fourth proportional to 6,809.49, 10,200.06 and 6,574.50 is: 9,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.49 : 10,200.06 = 6,574.50 : x
  2. Step 2: Convert to fraction form
    6,809.49/10,200.06 = 6,574.50/x
  3. Step 3: Cross multiply
    6,809.49x = 10,200.06 × 6,574.50
  4. Step 4: Simplify right side
    6,809.49x = 67,060,294.47
  5. Step 5: Solve for x
    x = 67,060,294.47/6,809.49
  6. Step 6: Final answer
    x = 9,848.06

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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.