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Finding the Fourth Proportional to 9,651.92, 14,485.16 and 7,061.54

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Solution

The fourth proportional to 9,651.92, 14,485.16 and 7,061.54 is: 10,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.92 : 14,485.16 = 7,061.54 : x
  2. Step 2: Convert to fraction form
    9,651.92/14,485.16 = 7,061.54/x
  3. Step 3: Cross multiply
    9,651.92x = 14,485.16 × 7,061.54
  4. Step 4: Simplify right side
    9,651.92x = 102,287,536.75
  5. Step 5: Solve for x
    x = 102,287,536.75/9,651.92
  6. Step 6: Final answer
    x = 10,597.64

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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.