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Finding the Fourth Proportional to 9,685.54, 14,533.84 and 8,061.76

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Solution

The fourth proportional to 9,685.54, 14,533.84 and 8,061.76 is: 12,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.54 : 14,533.84 = 8,061.76 : x
  2. Step 2: Convert to fraction form
    9,685.54/14,533.84 = 8,061.76/x
  3. Step 3: Cross multiply
    9,685.54x = 14,533.84 × 8,061.76
  4. Step 4: Simplify right side
    9,685.54x = 117,168,329.96
  5. Step 5: Solve for x
    x = 117,168,329.96/9,685.54
  6. Step 6: Final answer
    x = 12,097.24

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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.