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Finding the Fourth Proportional to 7,005.83, 9,658.74 and 5,806.32

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Solution

The fourth proportional to 7,005.83, 9,658.74 and 5,806.32 is: 8,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.83 : 9,658.74 = 5,806.32 : x
  2. Step 2: Convert to fraction form
    7,005.83/9,658.74 = 5,806.32/x
  3. Step 3: Cross multiply
    7,005.83x = 9,658.74 × 5,806.32
  4. Step 4: Simplify right side
    7,005.83x = 56,081,735.24
  5. Step 5: Solve for x
    x = 56,081,735.24/7,005.83
  6. Step 6: Final answer
    x = 8,005.02

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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.