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Finding the Fourth Proportional to 6,590.94, 9,083.22 and 5,405.10

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Solution

The fourth proportional to 6,590.94, 9,083.22 and 5,405.10 is: 7,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.94 : 9,083.22 = 5,405.10 : x
  2. Step 2: Convert to fraction form
    6,590.94/9,083.22 = 5,405.10/x
  3. Step 3: Cross multiply
    6,590.94x = 9,083.22 × 5,405.10
  4. Step 4: Simplify right side
    6,590.94x = 49,095,712.42
  5. Step 5: Solve for x
    x = 49,095,712.42/6,590.94
  6. Step 6: Final answer
    x = 7,448.97

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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.