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Finding the Fourth Proportional to 9,005.60, 12,419.34 and 5,975.38

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Solution

The fourth proportional to 9,005.60, 12,419.34 and 5,975.38 is: 8,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.60 : 12,419.34 = 5,975.38 : x
  2. Step 2: Convert to fraction form
    9,005.60/12,419.34 = 5,975.38/x
  3. Step 3: Cross multiply
    9,005.60x = 12,419.34 × 5,975.38
  4. Step 4: Simplify right side
    9,005.60x = 74,210,275.85
  5. Step 5: Solve for x
    x = 74,210,275.85/9,005.60
  6. Step 6: Final answer
    x = 8,240.46

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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.