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Finding the Fourth Proportional to 9,686.39, 14,533.11 and 5,984.37

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Solution

The fourth proportional to 9,686.39, 14,533.11 and 5,984.37 is: 8,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.39 : 14,533.11 = 5,984.37 : x
  2. Step 2: Convert to fraction form
    9,686.39/14,533.11 = 5,984.37/x
  3. Step 3: Cross multiply
    9,686.39x = 14,533.11 × 5,984.37
  4. Step 4: Simplify right side
    9,686.39x = 86,971,507.49
  5. Step 5: Solve for x
    x = 86,971,507.49/9,686.39
  6. Step 6: Final answer
    x = 8,978.74

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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.