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Finding the Fourth Proportional to 23,312, 34,973.54 and 7,729.63

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Solution

The fourth proportional to 23,312, 34,973.54 and 7,729.63 is: 11,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312 : 34,973.54 = 7,729.63 : x
  2. Step 2: Convert to fraction form
    23,312/34,973.54 = 7,729.63/x
  3. Step 3: Cross multiply
    23,312x = 34,973.54 × 7,729.63
  4. Step 4: Simplify right side
    23,312x = 270,332,310.47
  5. Step 5: Solve for x
    x = 270,332,310.47/23,312
  6. Step 6: Final answer
    x = 11,596.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.