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Finding the Fourth Proportional to 12,312.54, 16,991.07 and 7,007.25

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Solution

The fourth proportional to 12,312.54, 16,991.07 and 7,007.25 is: 9,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.54 : 16,991.07 = 7,007.25 : x
  2. Step 2: Convert to fraction form
    12,312.54/16,991.07 = 7,007.25/x
  3. Step 3: Cross multiply
    12,312.54x = 16,991.07 × 7,007.25
  4. Step 4: Simplify right side
    12,312.54x = 119,060,675.26
  5. Step 5: Solve for x
    x = 119,060,675.26/12,312.54
  6. Step 6: Final answer
    x = 9,669.87

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1.5x scale

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.