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Finding the Fourth Proportional to 15,772.40, 23,626.20 and 7,985.60

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Solution

The fourth proportional to 15,772.40, 23,626.20 and 7,985.60 is: 11,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.40 : 23,626.20 = 7,985.60 : x
  2. Step 2: Convert to fraction form
    15,772.40/23,626.20 = 7,985.60/x
  3. Step 3: Cross multiply
    15,772.40x = 23,626.20 × 7,985.60
  4. Step 4: Simplify right side
    15,772.40x = 188,669,382.72
  5. Step 5: Solve for x
    x = 188,669,382.72/15,772.40
  6. Step 6: Final answer
    x = 11,962.00

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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.