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Finding the Fourth Proportional to 6,598.16, 9,053.52 and 6,536.24

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Solution

The fourth proportional to 6,598.16, 9,053.52 and 6,536.24 is: 8,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.16 : 9,053.52 = 6,536.24 : x
  2. Step 2: Convert to fraction form
    6,598.16/9,053.52 = 6,536.24/x
  3. Step 3: Cross multiply
    6,598.16x = 9,053.52 × 6,536.24
  4. Step 4: Simplify right side
    6,598.16x = 59,175,979.56
  5. Step 5: Solve for x
    x = 59,175,979.56/6,598.16
  6. Step 6: Final answer
    x = 8,968.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.