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Finding the Fourth Proportional to 9,182.34, 13,740.68 and 7,953.98

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Solution

The fourth proportional to 9,182.34, 13,740.68 and 7,953.98 is: 11,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.34 : 13,740.68 = 7,953.98 : x
  2. Step 2: Convert to fraction form
    9,182.34/13,740.68 = 7,953.98/x
  3. Step 3: Cross multiply
    9,182.34x = 13,740.68 × 7,953.98
  4. Step 4: Simplify right side
    9,182.34x = 109,292,985.43
  5. Step 5: Solve for x
    x = 109,292,985.43/9,182.34
  6. Step 6: Final answer
    x = 11,902.52

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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.