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Finding the Fourth Proportional to 6,548.16, 9,822.36 and 2,165.64

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Solution

The fourth proportional to 6,548.16, 9,822.36 and 2,165.64 is: 3,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.16 : 9,822.36 = 2,165.64 : x
  2. Step 2: Convert to fraction form
    6,548.16/9,822.36 = 2,165.64/x
  3. Step 3: Cross multiply
    6,548.16x = 9,822.36 × 2,165.64
  4. Step 4: Simplify right side
    6,548.16x = 21,271,695.71
  5. Step 5: Solve for x
    x = 21,271,695.71/6,548.16
  6. Step 6: Final answer
    x = 3,248.50

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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.