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Finding the Fourth Proportional to 6,758.01, 10,085.75 and 6,583.05

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Solution

The fourth proportional to 6,758.01, 10,085.75 and 6,583.05 is: 9,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.01 : 10,085.75 = 6,583.05 : x
  2. Step 2: Convert to fraction form
    6,758.01/10,085.75 = 6,583.05/x
  3. Step 3: Cross multiply
    6,758.01x = 10,085.75 × 6,583.05
  4. Step 4: Simplify right side
    6,758.01x = 66,395,013.00
  5. Step 5: Solve for x
    x = 66,395,013.00/6,758.01
  6. Step 6: Final answer
    x = 9,824.64

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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.