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Finding the Fourth Proportional to 9,589.08, 13,239 and 6,005.46

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Solution

The fourth proportional to 9,589.08, 13,239 and 6,005.46 is: 8,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.08 : 13,239 = 6,005.46 : x
  2. Step 2: Convert to fraction form
    9,589.08/13,239 = 6,005.46/x
  3. Step 3: Cross multiply
    9,589.08x = 13,239 × 6,005.46
  4. Step 4: Simplify right side
    9,589.08x = 79,506,284.94
  5. Step 5: Solve for x
    x = 79,506,284.94/9,589.08
  6. Step 6: Final answer
    x = 8,291.34

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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.