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Finding the Fourth Proportional to 10,463.49, 14,434.74 and 6,483.15

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Solution

The fourth proportional to 10,463.49, 14,434.74 and 6,483.15 is: 8,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.49 : 14,434.74 = 6,483.15 : x
  2. Step 2: Convert to fraction form
    10,463.49/14,434.74 = 6,483.15/x
  3. Step 3: Cross multiply
    10,463.49x = 14,434.74 × 6,483.15
  4. Step 4: Simplify right side
    10,463.49x = 93,582,584.63
  5. Step 5: Solve for x
    x = 93,582,584.63/10,463.49
  6. Step 6: Final answer
    x = 8,943.73

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Double scale
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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.