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Finding the Fourth Proportional to 9,090, 12,539.34 and 6,100.70

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Solution

The fourth proportional to 9,090, 12,539.34 and 6,100.70 is: 8,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090 : 12,539.34 = 6,100.70 : x
  2. Step 2: Convert to fraction form
    9,090/12,539.34 = 6,100.70/x
  3. Step 3: Cross multiply
    9,090x = 12,539.34 × 6,100.70
  4. Step 4: Simplify right side
    9,090x = 76,498,688.84
  5. Step 5: Solve for x
    x = 76,498,688.84/9,090
  6. Step 6: Final answer
    x = 8,415.70

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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.