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Finding the Fourth Proportional to 9,602.84, 14,405.34 and 5,226.68

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Solution

The fourth proportional to 9,602.84, 14,405.34 and 5,226.68 is: 7,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.84 : 14,405.34 = 5,226.68 : x
  2. Step 2: Convert to fraction form
    9,602.84/14,405.34 = 5,226.68/x
  3. Step 3: Cross multiply
    9,602.84x = 14,405.34 × 5,226.68
  4. Step 4: Simplify right side
    9,602.84x = 75,292,102.47
  5. Step 5: Solve for x
    x = 75,292,102.47/9,602.84
  6. Step 6: Final answer
    x = 7,840.61

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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.