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Finding the Fourth Proportional to 8,037.64, 11,091.96 and 4,501

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Solution

The fourth proportional to 8,037.64, 11,091.96 and 4,501 is: 6,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.64 : 11,091.96 = 4,501 : x
  2. Step 2: Convert to fraction form
    8,037.64/11,091.96 = 4,501/x
  3. Step 3: Cross multiply
    8,037.64x = 11,091.96 × 4,501
  4. Step 4: Simplify right side
    8,037.64x = 49,924,911.96
  5. Step 5: Solve for x
    x = 49,924,911.96/8,037.64
  6. Step 6: Final answer
    x = 6,211.39

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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.