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Finding the Fourth Proportional to 12,309.74, 16,987.62 and 7,004.45

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Solution

The fourth proportional to 12,309.74, 16,987.62 and 7,004.45 is: 9,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.74 : 16,987.62 = 7,004.45 : x
  2. Step 2: Convert to fraction form
    12,309.74/16,987.62 = 7,004.45/x
  3. Step 3: Cross multiply
    12,309.74x = 16,987.62 × 7,004.45
  4. Step 4: Simplify right side
    12,309.74x = 118,988,849.97
  5. Step 5: Solve for x
    x = 118,988,849.97/12,309.74
  6. Step 6: Final answer
    x = 9,666.24

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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.