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Finding the Fourth Proportional to 6,746.09, 9,316.04 and 6,377.94

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Solution

The fourth proportional to 6,746.09, 9,316.04 and 6,377.94 is: 8,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.09 : 9,316.04 = 6,377.94 : x
  2. Step 2: Convert to fraction form
    6,746.09/9,316.04 = 6,377.94/x
  3. Step 3: Cross multiply
    6,746.09x = 9,316.04 × 6,377.94
  4. Step 4: Simplify right side
    6,746.09x = 59,417,112.27
  5. Step 5: Solve for x
    x = 59,417,112.27/6,746.09
  6. Step 6: Final answer
    x = 8,807.64

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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.