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Finding the Fourth Proportional to 9,822.70, 14,705.10 and 6,484.80

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Solution

The fourth proportional to 9,822.70, 14,705.10 and 6,484.80 is: 9,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.70 : 14,705.10 = 6,484.80 : x
  2. Step 2: Convert to fraction form
    9,822.70/14,705.10 = 6,484.80/x
  3. Step 3: Cross multiply
    9,822.70x = 14,705.10 × 6,484.80
  4. Step 4: Simplify right side
    9,822.70x = 95,359,632.48
  5. Step 5: Solve for x
    x = 95,359,632.48/9,822.70
  6. Step 6: Final answer
    x = 9,708.09

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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.