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Finding the Fourth Proportional to 16,411.60, 24,621.80 and 6,557.80

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Solution

The fourth proportional to 16,411.60, 24,621.80 and 6,557.80 is: 9,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.60 : 24,621.80 = 6,557.80 : x
  2. Step 2: Convert to fraction form
    16,411.60/24,621.80 = 6,557.80/x
  3. Step 3: Cross multiply
    16,411.60x = 24,621.80 × 6,557.80
  4. Step 4: Simplify right side
    16,411.60x = 161,464,840.04
  5. Step 5: Solve for x
    x = 161,464,840.04/16,411.60
  6. Step 6: Final answer
    x = 9,838.46

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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.