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Finding the Fourth Proportional to 6,566.68, 9,070.86 and 6,100.12

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Solution

The fourth proportional to 6,566.68, 9,070.86 and 6,100.12 is: 8,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.68 : 9,070.86 = 6,100.12 : x
  2. Step 2: Convert to fraction form
    6,566.68/9,070.86 = 6,100.12/x
  3. Step 3: Cross multiply
    6,566.68x = 9,070.86 × 6,100.12
  4. Step 4: Simplify right side
    6,566.68x = 55,333,334.50
  5. Step 5: Solve for x
    x = 55,333,334.50/6,566.68
  6. Step 6: Final answer
    x = 8,426.38

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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.