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Finding the Fourth Proportional to 9,214.76, 13,827.90 and 8,624.36

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Solution

The fourth proportional to 9,214.76, 13,827.90 and 8,624.36 is: 12,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.76 : 13,827.90 = 8,624.36 : x
  2. Step 2: Convert to fraction form
    9,214.76/13,827.90 = 8,624.36/x
  3. Step 3: Cross multiply
    9,214.76x = 13,827.90 × 8,624.36
  4. Step 4: Simplify right side
    9,214.76x = 119,256,787.64
  5. Step 5: Solve for x
    x = 119,256,787.64/9,214.76
  6. Step 6: Final answer
    x = 12,941.93

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1.5x scale

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.