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Finding the Fourth Proportional to 6,542.84, 9,744.97 and 6,510.98

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Solution

The fourth proportional to 6,542.84, 9,744.97 and 6,510.98 is: 9,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.84 : 9,744.97 = 6,510.98 : x
  2. Step 2: Convert to fraction form
    6,542.84/9,744.97 = 6,510.98/x
  3. Step 3: Cross multiply
    6,542.84x = 9,744.97 × 6,510.98
  4. Step 4: Simplify right side
    6,542.84x = 63,449,304.77
  5. Step 5: Solve for x
    x = 63,449,304.77/6,542.84
  6. Step 6: Final answer
    x = 9,697.52

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.