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Finding the Fourth Proportional to 9,214.47, 13,762.98 and 8,335.62

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Solution

The fourth proportional to 9,214.47, 13,762.98 and 8,335.62 is: 12,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.47 : 13,762.98 = 8,335.62 : x
  2. Step 2: Convert to fraction form
    9,214.47/13,762.98 = 8,335.62/x
  3. Step 3: Cross multiply
    9,214.47x = 13,762.98 × 8,335.62
  4. Step 4: Simplify right side
    9,214.47x = 114,722,971.35
  5. Step 5: Solve for x
    x = 114,722,971.35/9,214.47
  6. Step 6: Final answer
    x = 12,450.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.