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Finding the Fourth Proportional to 9,611.02, 14,411.58 and 5,663.44

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Solution

The fourth proportional to 9,611.02, 14,411.58 and 5,663.44 is: 8,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.02 : 14,411.58 = 5,663.44 : x
  2. Step 2: Convert to fraction form
    9,611.02/14,411.58 = 5,663.44/x
  3. Step 3: Cross multiply
    9,611.02x = 14,411.58 × 5,663.44
  4. Step 4: Simplify right side
    9,611.02x = 81,619,118.64
  5. Step 5: Solve for x
    x = 81,619,118.64/9,611.02
  6. Step 6: Final answer
    x = 8,492.24

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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.