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Finding the Fourth Proportional to 9,817.80, 14,726.70 and 8,521.80

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Solution

The fourth proportional to 9,817.80, 14,726.70 and 8,521.80 is: 12,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.80 : 14,726.70 = 8,521.80 : x
  2. Step 2: Convert to fraction form
    9,817.80/14,726.70 = 8,521.80/x
  3. Step 3: Cross multiply
    9,817.80x = 14,726.70 × 8,521.80
  4. Step 4: Simplify right side
    9,817.80x = 125,497,992.06
  5. Step 5: Solve for x
    x = 125,497,992.06/9,817.80
  6. Step 6: Final answer
    x = 12,782.70

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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.