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Finding the Fourth Proportional to 10,626.66, 14,666.06 and 6,380.10

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Solution

The fourth proportional to 10,626.66, 14,666.06 and 6,380.10 is: 8,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.66 : 14,666.06 = 6,380.10 : x
  2. Step 2: Convert to fraction form
    10,626.66/14,666.06 = 6,380.10/x
  3. Step 3: Cross multiply
    10,626.66x = 14,666.06 × 6,380.10
  4. Step 4: Simplify right side
    10,626.66x = 93,570,945.36
  5. Step 5: Solve for x
    x = 93,570,945.36/10,626.66
  6. Step 6: Final answer
    x = 8,805.30

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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.