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Finding the Fourth Proportional to 6,498.32, 9,733.68 and 6,270.98

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Solution

The fourth proportional to 6,498.32, 9,733.68 and 6,270.98 is: 9,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.32 : 9,733.68 = 6,270.98 : x
  2. Step 2: Convert to fraction form
    6,498.32/9,733.68 = 6,270.98/x
  3. Step 3: Cross multiply
    6,498.32x = 9,733.68 × 6,270.98
  4. Step 4: Simplify right side
    6,498.32x = 61,039,712.61
  5. Step 5: Solve for x
    x = 61,039,712.61/6,498.32
  6. Step 6: Final answer
    x = 9,393.15

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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.