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Finding the Fourth Proportional to 6,852.54, 10,218.65 and 6,790.17

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Solution

The fourth proportional to 6,852.54, 10,218.65 and 6,790.17 is: 10,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.54 : 10,218.65 = 6,790.17 : x
  2. Step 2: Convert to fraction form
    6,852.54/10,218.65 = 6,790.17/x
  3. Step 3: Cross multiply
    6,852.54x = 10,218.65 × 6,790.17
  4. Step 4: Simplify right side
    6,852.54x = 69,386,336.72
  5. Step 5: Solve for x
    x = 69,386,336.72/6,852.54
  6. Step 6: Final answer
    x = 10,125.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.