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Finding the Fourth Proportional to 6,589.05, 9,836.61 and 6,358.32

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Solution

The fourth proportional to 6,589.05, 9,836.61 and 6,358.32 is: 9,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.05 : 9,836.61 = 6,358.32 : x
  2. Step 2: Convert to fraction form
    6,589.05/9,836.61 = 6,358.32/x
  3. Step 3: Cross multiply
    6,589.05x = 9,836.61 × 6,358.32
  4. Step 4: Simplify right side
    6,589.05x = 62,544,314.10
  5. Step 5: Solve for x
    x = 62,544,314.10/6,589.05
  6. Step 6: Final answer
    x = 9,492.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.