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Finding the Fourth Proportional to 8,357.99, 11,534.16 and 4,581.52

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Solution

The fourth proportional to 8,357.99, 11,534.16 and 4,581.52 is: 6,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.99 : 11,534.16 = 4,581.52 : x
  2. Step 2: Convert to fraction form
    8,357.99/11,534.16 = 4,581.52/x
  3. Step 3: Cross multiply
    8,357.99x = 11,534.16 × 4,581.52
  4. Step 4: Simplify right side
    8,357.99x = 52,843,927.05
  5. Step 5: Solve for x
    x = 52,843,927.05/8,357.99
  6. Step 6: Final answer
    x = 6,322.56

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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.