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Finding the Fourth Proportional to 9,682.88, 14,510.88 and 5,056.64

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Solution

The fourth proportional to 9,682.88, 14,510.88 and 5,056.64 is: 7,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.88 : 14,510.88 = 5,056.64 : x
  2. Step 2: Convert to fraction form
    9,682.88/14,510.88 = 5,056.64/x
  3. Step 3: Cross multiply
    9,682.88x = 14,510.88 × 5,056.64
  4. Step 4: Simplify right side
    9,682.88x = 73,376,296.24
  5. Step 5: Solve for x
    x = 73,376,296.24/9,682.88
  6. Step 6: Final answer
    x = 7,577.94

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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.