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Finding the Fourth Proportional to 8,356.63, 11,532.15 and 4,999.58

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Solution

The fourth proportional to 8,356.63, 11,532.15 and 4,999.58 is: 6,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.63 : 11,532.15 = 4,999.58 : x
  2. Step 2: Convert to fraction form
    8,356.63/11,532.15 = 4,999.58/x
  3. Step 3: Cross multiply
    8,356.63x = 11,532.15 × 4,999.58
  4. Step 4: Simplify right side
    8,356.63x = 57,655,906.50
  5. Step 5: Solve for x
    x = 57,655,906.50/8,356.63
  6. Step 6: Final answer
    x = 6,899.42

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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.