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Finding the Fourth Proportional to 9,734.90, 14,602.21 and 6,607.14

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Solution

The fourth proportional to 9,734.90, 14,602.21 and 6,607.14 is: 9,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.90 : 14,602.21 = 6,607.14 : x
  2. Step 2: Convert to fraction form
    9,734.90/14,602.21 = 6,607.14/x
  3. Step 3: Cross multiply
    9,734.90x = 14,602.21 × 6,607.14
  4. Step 4: Simplify right side
    9,734.90x = 96,478,845.78
  5. Step 5: Solve for x
    x = 96,478,845.78/9,734.90
  6. Step 6: Final answer
    x = 9,910.61

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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.