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Finding the Fourth Proportional to 5,966.08, 8,228.16 and 4,477.48

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Solution

The fourth proportional to 5,966.08, 8,228.16 and 4,477.48 is: 6,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.08 : 8,228.16 = 4,477.48 : x
  2. Step 2: Convert to fraction form
    5,966.08/8,228.16 = 4,477.48/x
  3. Step 3: Cross multiply
    5,966.08x = 8,228.16 × 4,477.48
  4. Step 4: Simplify right side
    5,966.08x = 36,841,421.84
  5. Step 5: Solve for x
    x = 36,841,421.84/5,966.08
  6. Step 6: Final answer
    x = 6,175.15

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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.