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Finding the Fourth Proportional to 7,070.76, 10,606.14 and 1,876.50

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Solution

The fourth proportional to 7,070.76, 10,606.14 and 1,876.50 is: 2,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.76 : 10,606.14 = 1,876.50 : x
  2. Step 2: Convert to fraction form
    7,070.76/10,606.14 = 1,876.50/x
  3. Step 3: Cross multiply
    7,070.76x = 10,606.14 × 1,876.50
  4. Step 4: Simplify right side
    7,070.76x = 19,902,421.71
  5. Step 5: Solve for x
    x = 19,902,421.71/7,070.76
  6. Step 6: Final answer
    x = 2,814.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.