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Finding the Fourth Proportional to 9,695.67, 14,535.63 and 9,145.68

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Solution

The fourth proportional to 9,695.67, 14,535.63 and 9,145.68 is: 13,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.67 : 14,535.63 = 9,145.68 : x
  2. Step 2: Convert to fraction form
    9,695.67/14,535.63 = 9,145.68/x
  3. Step 3: Cross multiply
    9,695.67x = 14,535.63 × 9,145.68
  4. Step 4: Simplify right side
    9,695.67x = 132,938,220.58
  5. Step 5: Solve for x
    x = 132,938,220.58/9,695.67
  6. Step 6: Final answer
    x = 13,711.09

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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.