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Finding the Fourth Proportional to 10,903.84, 16,340.10 and 6,214.12

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Solution

The fourth proportional to 10,903.84, 16,340.10 and 6,214.12 is: 9,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.84 : 16,340.10 = 6,214.12 : x
  2. Step 2: Convert to fraction form
    10,903.84/16,340.10 = 6,214.12/x
  3. Step 3: Cross multiply
    10,903.84x = 16,340.10 × 6,214.12
  4. Step 4: Simplify right side
    10,903.84x = 101,539,342.21
  5. Step 5: Solve for x
    x = 101,539,342.21/10,903.84
  6. Step 6: Final answer
    x = 9,312.26

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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.