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Finding the Fourth Proportional to 8,307.84, 11,465.88 and 5,164.44

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Solution

The fourth proportional to 8,307.84, 11,465.88 and 5,164.44 is: 7,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.84 : 11,465.88 = 5,164.44 : x
  2. Step 2: Convert to fraction form
    8,307.84/11,465.88 = 5,164.44/x
  3. Step 3: Cross multiply
    8,307.84x = 11,465.88 × 5,164.44
  4. Step 4: Simplify right side
    8,307.84x = 59,214,849.31
  5. Step 5: Solve for x
    x = 59,214,849.31/8,307.84
  6. Step 6: Final answer
    x = 7,127.59

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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.