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Finding the Fourth Proportional to 12,804.68, 17,669.70 and 7,215.56

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Solution

The fourth proportional to 12,804.68, 17,669.70 and 7,215.56 is: 9,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.68 : 17,669.70 = 7,215.56 : x
  2. Step 2: Convert to fraction form
    12,804.68/17,669.70 = 7,215.56/x
  3. Step 3: Cross multiply
    12,804.68x = 17,669.70 × 7,215.56
  4. Step 4: Simplify right side
    12,804.68x = 127,496,780.53
  5. Step 5: Solve for x
    x = 127,496,780.53/12,804.68
  6. Step 6: Final answer
    x = 9,957.05

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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.