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Finding the Fourth Proportional to 10,792.63, 14,889.03 and 6,314.42

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Solution

The fourth proportional to 10,792.63, 14,889.03 and 6,314.42 is: 8,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.63 : 14,889.03 = 6,314.42 : x
  2. Step 2: Convert to fraction form
    10,792.63/14,889.03 = 6,314.42/x
  3. Step 3: Cross multiply
    10,792.63x = 14,889.03 × 6,314.42
  4. Step 4: Simplify right side
    10,792.63x = 94,015,602.36
  5. Step 5: Solve for x
    x = 94,015,602.36/10,792.63
  6. Step 6: Final answer
    x = 8,711.09

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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.