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Finding the Fourth Proportional to 11,284, 15,572 and 6,316

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Solution

The fourth proportional to 11,284, 15,572 and 6,316 is: 8,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284 : 15,572 = 6,316 : x
  2. Step 2: Convert to fraction form
    11,284/15,572 = 6,316/x
  3. Step 3: Cross multiply
    11,284x = 15,572 × 6,316
  4. Step 4: Simplify right side
    11,284x = 98,352,752
  5. Step 5: Solve for x
    x = 98,352,752/11,284
  6. Step 6: Final answer
    x = 8,716.12

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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.