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Finding the Fourth Proportional to 7,190.60, 9,898.08 and 6,199.16

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Solution

The fourth proportional to 7,190.60, 9,898.08 and 6,199.16 is: 8,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.60 : 9,898.08 = 6,199.16 : x
  2. Step 2: Convert to fraction form
    7,190.60/9,898.08 = 6,199.16/x
  3. Step 3: Cross multiply
    7,190.60x = 9,898.08 × 6,199.16
  4. Step 4: Simplify right side
    7,190.60x = 61,359,781.61
  5. Step 5: Solve for x
    x = 61,359,781.61/7,190.60
  6. Step 6: Final answer
    x = 8,533.33

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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.