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Finding the Fourth Proportional to 9,791.34, 13,512 and 5,315.07

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Solution

The fourth proportional to 9,791.34, 13,512 and 5,315.07 is: 7,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.34 : 13,512 = 5,315.07 : x
  2. Step 2: Convert to fraction form
    9,791.34/13,512 = 5,315.07/x
  3. Step 3: Cross multiply
    9,791.34x = 13,512 × 5,315.07
  4. Step 4: Simplify right side
    9,791.34x = 71,817,225.84
  5. Step 5: Solve for x
    x = 71,817,225.84/9,791.34
  6. Step 6: Final answer
    x = 7,334.77

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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.