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Finding the Fourth Proportional to 12,894.76, 17,798.82 and 7,309.48

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Solution

The fourth proportional to 12,894.76, 17,798.82 and 7,309.48 is: 10,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.76 : 17,798.82 = 7,309.48 : x
  2. Step 2: Convert to fraction form
    12,894.76/17,798.82 = 7,309.48/x
  3. Step 3: Cross multiply
    12,894.76x = 17,798.82 × 7,309.48
  4. Step 4: Simplify right side
    12,894.76x = 130,100,118.81
  5. Step 5: Solve for x
    x = 130,100,118.81/12,894.76
  6. Step 6: Final answer
    x = 10,089.38

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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.