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Finding the Fourth Proportional to 6,528.56, 9,009.30 and 3,696.47

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Solution

The fourth proportional to 6,528.56, 9,009.30 and 3,696.47 is: 5,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.56 : 9,009.30 = 3,696.47 : x
  2. Step 2: Convert to fraction form
    6,528.56/9,009.30 = 3,696.47/x
  3. Step 3: Cross multiply
    6,528.56x = 9,009.30 × 3,696.47
  4. Step 4: Simplify right side
    6,528.56x = 33,302,562.12
  5. Step 5: Solve for x
    x = 33,302,562.12/6,528.56
  6. Step 6: Final answer
    x = 5,101.06

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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.