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Finding the Fourth Proportional to 7,031.75, 10,547.75 and 1,837.76

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Solution

The fourth proportional to 7,031.75, 10,547.75 and 1,837.76 is: 2,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.75 : 10,547.75 = 1,837.76 : x
  2. Step 2: Convert to fraction form
    7,031.75/10,547.75 = 1,837.76/x
  3. Step 3: Cross multiply
    7,031.75x = 10,547.75 × 1,837.76
  4. Step 4: Simplify right side
    7,031.75x = 19,384,184.90
  5. Step 5: Solve for x
    x = 19,384,184.90/7,031.75
  6. Step 6: Final answer
    x = 2,756.67

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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.