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Finding the Fourth Proportional to 6,809.05, 9,397.58 and 6,364.36

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Solution

The fourth proportional to 6,809.05, 9,397.58 and 6,364.36 is: 8,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.05 : 9,397.58 = 6,364.36 : x
  2. Step 2: Convert to fraction form
    6,809.05/9,397.58 = 6,364.36/x
  3. Step 3: Cross multiply
    6,809.05x = 9,397.58 × 6,364.36
  4. Step 4: Simplify right side
    6,809.05x = 59,809,582.25
  5. Step 5: Solve for x
    x = 59,809,582.25/6,809.05
  6. Step 6: Final answer
    x = 8,783.84

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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.