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Finding the Fourth Proportional to 10,551.70, 14,563.14 and 6,078.04

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Solution

The fourth proportional to 10,551.70, 14,563.14 and 6,078.04 is: 8,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.70 : 14,563.14 = 6,078.04 : x
  2. Step 2: Convert to fraction form
    10,551.70/14,563.14 = 6,078.04/x
  3. Step 3: Cross multiply
    10,551.70x = 14,563.14 × 6,078.04
  4. Step 4: Simplify right side
    10,551.70x = 88,515,347.45
  5. Step 5: Solve for x
    x = 88,515,347.45/10,551.70
  6. Step 6: Final answer
    x = 8,388.73

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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.