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Finding the Fourth Proportional to 6,585.14, 9,835.66 and 5,959.48

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Solution

The fourth proportional to 6,585.14, 9,835.66 and 5,959.48 is: 8,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.14 : 9,835.66 = 5,959.48 : x
  2. Step 2: Convert to fraction form
    6,585.14/9,835.66 = 5,959.48/x
  3. Step 3: Cross multiply
    6,585.14x = 9,835.66 × 5,959.48
  4. Step 4: Simplify right side
    6,585.14x = 58,615,419.06
  5. Step 5: Solve for x
    x = 58,615,419.06/6,585.14
  6. Step 6: Final answer
    x = 8,901.17

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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.