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Finding the Fourth Proportional to 6,528.72, 9,782.64 and 5,865.60

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Solution

The fourth proportional to 6,528.72, 9,782.64 and 5,865.60 is: 8,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.72 : 9,782.64 = 5,865.60 : x
  2. Step 2: Convert to fraction form
    6,528.72/9,782.64 = 5,865.60/x
  3. Step 3: Cross multiply
    6,528.72x = 9,782.64 × 5,865.60
  4. Step 4: Simplify right side
    6,528.72x = 57,381,053.18
  5. Step 5: Solve for x
    x = 57,381,053.18/6,528.72
  6. Step 6: Final answer
    x = 8,789.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.