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Finding the Fourth Proportional to 6,590.64, 9,095.14 and 4,072.17

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Solution

The fourth proportional to 6,590.64, 9,095.14 and 4,072.17 is: 5,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.64 : 9,095.14 = 4,072.17 : x
  2. Step 2: Convert to fraction form
    6,590.64/9,095.14 = 4,072.17/x
  3. Step 3: Cross multiply
    6,590.64x = 9,095.14 × 4,072.17
  4. Step 4: Simplify right side
    6,590.64x = 37,036,956.25
  5. Step 5: Solve for x
    x = 37,036,956.25/6,590.64
  6. Step 6: Final answer
    x = 5,619.63

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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.