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Finding the Fourth Proportional to 6,901.04, 9,498.66 and 5,769.47

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Solution

The fourth proportional to 6,901.04, 9,498.66 and 5,769.47 is: 7,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.04 : 9,498.66 = 5,769.47 : x
  2. Step 2: Convert to fraction form
    6,901.04/9,498.66 = 5,769.47/x
  3. Step 3: Cross multiply
    6,901.04x = 9,498.66 × 5,769.47
  4. Step 4: Simplify right side
    6,901.04x = 54,802,233.91
  5. Step 5: Solve for x
    x = 54,802,233.91/6,901.04
  6. Step 6: Final answer
    x = 7,941.16

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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.