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Finding the Fourth Proportional to 6,589.64, 9,095.82 and 4,353.50

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Solution

The fourth proportional to 6,589.64, 9,095.82 and 4,353.50 is: 6,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.64 : 9,095.82 = 4,353.50 : x
  2. Step 2: Convert to fraction form
    6,589.64/9,095.82 = 4,353.50/x
  3. Step 3: Cross multiply
    6,589.64x = 9,095.82 × 4,353.50
  4. Step 4: Simplify right side
    6,589.64x = 39,598,652.37
  5. Step 5: Solve for x
    x = 39,598,652.37/6,589.64
  6. Step 6: Final answer
    x = 6,009.23

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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.