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Finding the Fourth Proportional to 10,463.01, 14,433.87 and 6,929.17

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Solution

The fourth proportional to 10,463.01, 14,433.87 and 6,929.17 is: 9,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.01 : 14,433.87 = 6,929.17 : x
  2. Step 2: Convert to fraction form
    10,463.01/14,433.87 = 6,929.17/x
  3. Step 3: Cross multiply
    10,463.01x = 14,433.87 × 6,929.17
  4. Step 4: Simplify right side
    10,463.01x = 100,014,738.99
  5. Step 5: Solve for x
    x = 100,014,738.99/10,463.01
  6. Step 6: Final answer
    x = 9,558.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.