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Finding the Fourth Proportional to 9,472.34, 14,169.63 and 7,897.70

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Solution

The fourth proportional to 9,472.34, 14,169.63 and 7,897.70 is: 11,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.34 : 14,169.63 = 7,897.70 : x
  2. Step 2: Convert to fraction form
    9,472.34/14,169.63 = 7,897.70/x
  3. Step 3: Cross multiply
    9,472.34x = 14,169.63 × 7,897.70
  4. Step 4: Simplify right side
    9,472.34x = 111,907,551.89
  5. Step 5: Solve for x
    x = 111,907,551.89/9,472.34
  6. Step 6: Final answer
    x = 11,814.14

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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.