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Finding the Fourth Proportional to 4,776.96, 6,577.92 and 4,428.48

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Solution

The fourth proportional to 4,776.96, 6,577.92 and 4,428.48 is: 6,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.96 : 6,577.92 = 4,428.48 : x
  2. Step 2: Convert to fraction form
    4,776.96/6,577.92 = 4,428.48/x
  3. Step 3: Cross multiply
    4,776.96x = 6,577.92 × 4,428.48
  4. Step 4: Simplify right side
    4,776.96x = 29,130,187.16
  5. Step 5: Solve for x
    x = 29,130,187.16/4,776.96
  6. Step 6: Final answer
    x = 6,098.06

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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.