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Finding the Fourth Proportional to 7,999.01, 11,038.64 and 4,462.14

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Solution

The fourth proportional to 7,999.01, 11,038.64 and 4,462.14 is: 6,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.01 : 11,038.64 = 4,462.14 : x
  2. Step 2: Convert to fraction form
    7,999.01/11,038.64 = 4,462.14/x
  3. Step 3: Cross multiply
    7,999.01x = 11,038.64 × 4,462.14
  4. Step 4: Simplify right side
    7,999.01x = 49,255,957.09
  5. Step 5: Solve for x
    x = 49,255,957.09/7,999.01
  6. Step 6: Final answer
    x = 6,157.76

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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.