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Finding the Fourth Proportional to 9,902.81, 14,846.01 and 4,635.23

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Solution

The fourth proportional to 9,902.81, 14,846.01 and 4,635.23 is: 6,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.81 : 14,846.01 = 4,635.23 : x
  2. Step 2: Convert to fraction form
    9,902.81/14,846.01 = 4,635.23/x
  3. Step 3: Cross multiply
    9,902.81x = 14,846.01 × 4,635.23
  4. Step 4: Simplify right side
    9,902.81x = 68,814,596.70
  5. Step 5: Solve for x
    x = 68,814,596.70/9,902.81
  6. Step 6: Final answer
    x = 6,949.00

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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.