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Finding the Fourth Proportional to 9,199.58, 12,688.58 and 5,839.48

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Solution

The fourth proportional to 9,199.58, 12,688.58 and 5,839.48 is: 8,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.58 : 12,688.58 = 5,839.48 : x
  2. Step 2: Convert to fraction form
    9,199.58/12,688.58 = 5,839.48/x
  3. Step 3: Cross multiply
    9,199.58x = 12,688.58 × 5,839.48
  4. Step 4: Simplify right side
    9,199.58x = 74,094,616.50
  5. Step 5: Solve for x
    x = 74,094,616.50/9,199.58
  6. Step 6: Final answer
    x = 8,054.13

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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.