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Finding the Fourth Proportional to 9,042.96, 13,527 and 8,490

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Solution

The fourth proportional to 9,042.96, 13,527 and 8,490 is: 12,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.96 : 13,527 = 8,490 : x
  2. Step 2: Convert to fraction form
    9,042.96/13,527 = 8,490/x
  3. Step 3: Cross multiply
    9,042.96x = 13,527 × 8,490
  4. Step 4: Simplify right side
    9,042.96x = 114,844,230
  5. Step 5: Solve for x
    x = 114,844,230/9,042.96
  6. Step 6: Final answer
    x = 12,699.85

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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.