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Finding the Fourth Proportional to 6,880.33, 9,497.76 and 4,645.23

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Solution

The fourth proportional to 6,880.33, 9,497.76 and 4,645.23 is: 6,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.33 : 9,497.76 = 4,645.23 : x
  2. Step 2: Convert to fraction form
    6,880.33/9,497.76 = 4,645.23/x
  3. Step 3: Cross multiply
    6,880.33x = 9,497.76 × 4,645.23
  4. Step 4: Simplify right side
    6,880.33x = 44,119,262.27
  5. Step 5: Solve for x
    x = 44,119,262.27/6,880.33
  6. Step 6: Final answer
    x = 6,412.38

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Half scale
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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.