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Finding the Fourth Proportional to 6,554.25, 9,826.52 and 4,216.86

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Solution

The fourth proportional to 6,554.25, 9,826.52 and 4,216.86 is: 6,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.25 : 9,826.52 = 4,216.86 : x
  2. Step 2: Convert to fraction form
    6,554.25/9,826.52 = 4,216.86/x
  3. Step 3: Cross multiply
    6,554.25x = 9,826.52 × 4,216.86
  4. Step 4: Simplify right side
    6,554.25x = 41,437,038.04
  5. Step 5: Solve for x
    x = 41,437,038.04/6,554.25
  6. Step 6: Final answer
    x = 6,322.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.