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Finding the Fourth Proportional to 6,528, 9,008.64 and 3,733.50

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Solution

The fourth proportional to 6,528, 9,008.64 and 3,733.50 is: 5,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528 : 9,008.64 = 3,733.50 : x
  2. Step 2: Convert to fraction form
    6,528/9,008.64 = 3,733.50/x
  3. Step 3: Cross multiply
    6,528x = 9,008.64 × 3,733.50
  4. Step 4: Simplify right side
    6,528x = 33,633,757.44
  5. Step 5: Solve for x
    x = 33,633,757.44/6,528
  6. Step 6: Final answer
    x = 5,152.23

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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.