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Finding the Fourth Proportional to 6,409.68, 8,841.99 and 5,216.01

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Solution

The fourth proportional to 6,409.68, 8,841.99 and 5,216.01 is: 7,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.68 : 8,841.99 = 5,216.01 : x
  2. Step 2: Convert to fraction form
    6,409.68/8,841.99 = 5,216.01/x
  3. Step 3: Cross multiply
    6,409.68x = 8,841.99 × 5,216.01
  4. Step 4: Simplify right side
    6,409.68x = 46,119,908.26
  5. Step 5: Solve for x
    x = 46,119,908.26/6,409.68
  6. Step 6: Final answer
    x = 7,195.35

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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.