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Finding the Fourth Proportional to 4,663.55, 7,020.86 and 4,255.31

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Solution

The fourth proportional to 4,663.55, 7,020.86 and 4,255.31 is: 6,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.55 : 7,020.86 = 4,255.31 : x
  2. Step 2: Convert to fraction form
    4,663.55/7,020.86 = 4,255.31/x
  3. Step 3: Cross multiply
    4,663.55x = 7,020.86 × 4,255.31
  4. Step 4: Simplify right side
    4,663.55x = 29,875,935.77
  5. Step 5: Solve for x
    x = 29,875,935.77/4,663.55
  6. Step 6: Final answer
    x = 6,406.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.