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Finding the Fourth Proportional to 6,406.54, 8,840.95 and 4,516.16

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Solution

The fourth proportional to 6,406.54, 8,840.95 and 4,516.16 is: 6,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.54 : 8,840.95 = 4,516.16 : x
  2. Step 2: Convert to fraction form
    6,406.54/8,840.95 = 4,516.16/x
  3. Step 3: Cross multiply
    6,406.54x = 8,840.95 × 4,516.16
  4. Step 4: Simplify right side
    6,406.54x = 39,927,089.26
  5. Step 5: Solve for x
    x = 39,927,089.26/6,406.54
  6. Step 6: Final answer
    x = 6,232.24

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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.