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Finding the Fourth Proportional to 9,812.98, 14,719.12 and 4,266.31

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Solution

The fourth proportional to 9,812.98, 14,719.12 and 4,266.31 is: 6,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.98 : 14,719.12 = 4,266.31 : x
  2. Step 2: Convert to fraction form
    9,812.98/14,719.12 = 4,266.31/x
  3. Step 3: Cross multiply
    9,812.98x = 14,719.12 × 4,266.31
  4. Step 4: Simplify right side
    9,812.98x = 62,796,328.85
  5. Step 5: Solve for x
    x = 62,796,328.85/9,812.98
  6. Step 6: Final answer
    x = 6,399.31

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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.