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Finding the Fourth Proportional to 15,838.68, 23,766.08 and 6,485.60

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Solution

The fourth proportional to 15,838.68, 23,766.08 and 6,485.60 is: 9,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.68 : 23,766.08 = 6,485.60 : x
  2. Step 2: Convert to fraction form
    15,838.68/23,766.08 = 6,485.60/x
  3. Step 3: Cross multiply
    15,838.68x = 23,766.08 × 6,485.60
  4. Step 4: Simplify right side
    15,838.68x = 154,137,288.45
  5. Step 5: Solve for x
    x = 154,137,288.45/15,838.68
  6. Step 6: Final answer
    x = 9,731.70

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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.