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Finding the Fourth Proportional to 8,783.70, 12,115.94 and 6,130.14

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Solution

The fourth proportional to 8,783.70, 12,115.94 and 6,130.14 is: 8,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.70 : 12,115.94 = 6,130.14 : x
  2. Step 2: Convert to fraction form
    8,783.70/12,115.94 = 6,130.14/x
  3. Step 3: Cross multiply
    8,783.70x = 12,115.94 × 6,130.14
  4. Step 4: Simplify right side
    8,783.70x = 74,272,408.43
  5. Step 5: Solve for x
    x = 74,272,408.43/8,783.70
  6. Step 6: Final answer
    x = 8,455.71

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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.