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Finding the Fourth Proportional to 7,107.84, 10,646.10 and 6,008.22

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Solution

The fourth proportional to 7,107.84, 10,646.10 and 6,008.22 is: 8,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.84 : 10,646.10 = 6,008.22 : x
  2. Step 2: Convert to fraction form
    7,107.84/10,646.10 = 6,008.22/x
  3. Step 3: Cross multiply
    7,107.84x = 10,646.10 × 6,008.22
  4. Step 4: Simplify right side
    7,107.84x = 63,964,110.94
  5. Step 5: Solve for x
    x = 63,964,110.94/7,107.84
  6. Step 6: Final answer
    x = 8,999.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.