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Finding the Fourth Proportional to 8,038.84, 11,094.22 and 4,503.24

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Solution

The fourth proportional to 8,038.84, 11,094.22 and 4,503.24 is: 6,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.84 : 11,094.22 = 4,503.24 : x
  2. Step 2: Convert to fraction form
    8,038.84/11,094.22 = 4,503.24/x
  3. Step 3: Cross multiply
    8,038.84x = 11,094.22 × 4,503.24
  4. Step 4: Simplify right side
    8,038.84x = 49,959,935.27
  5. Step 5: Solve for x
    x = 49,959,935.27/8,038.84
  6. Step 6: Final answer
    x = 6,214.82

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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.