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Finding the Fourth Proportional to 10,367.90, 15,547.17 and 2,970.67

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Solution

The fourth proportional to 10,367.90, 15,547.17 and 2,970.67 is: 4,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.90 : 15,547.17 = 2,970.67 : x
  2. Step 2: Convert to fraction form
    10,367.90/15,547.17 = 2,970.67/x
  3. Step 3: Cross multiply
    10,367.90x = 15,547.17 × 2,970.67
  4. Step 4: Simplify right side
    10,367.90x = 46,185,511.50
  5. Step 5: Solve for x
    x = 46,185,511.50/10,367.90
  6. Step 6: Final answer
    x = 4,454.66

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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.