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Finding the Fourth Proportional to 6,809.07, 9,400.10 and 4,582.65

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Solution

The fourth proportional to 6,809.07, 9,400.10 and 4,582.65 is: 6,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.07 : 9,400.10 = 4,582.65 : x
  2. Step 2: Convert to fraction form
    6,809.07/9,400.10 = 4,582.65/x
  3. Step 3: Cross multiply
    6,809.07x = 9,400.10 × 4,582.65
  4. Step 4: Simplify right side
    6,809.07x = 43,077,368.27
  5. Step 5: Solve for x
    x = 43,077,368.27/6,809.07
  6. Step 6: Final answer
    x = 6,326.47

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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.