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Finding the Fourth Proportional to 6,500.76, 8,971.02 and 3,516.59

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Solution

The fourth proportional to 6,500.76, 8,971.02 and 3,516.59 is: 4,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.76 : 8,971.02 = 3,516.59 : x
  2. Step 2: Convert to fraction form
    6,500.76/8,971.02 = 3,516.59/x
  3. Step 3: Cross multiply
    6,500.76x = 8,971.02 × 3,516.59
  4. Step 4: Simplify right side
    6,500.76x = 31,547,404.49
  5. Step 5: Solve for x
    x = 31,547,404.49/6,500.76
  6. Step 6: Final answer
    x = 4,852.88

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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.