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Finding the Fourth Proportional to 15,683.64, 23,508.84 and 7,356.64

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Solution

The fourth proportional to 15,683.64, 23,508.84 and 7,356.64 is: 11,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.64 : 23,508.84 = 7,356.64 : x
  2. Step 2: Convert to fraction form
    15,683.64/23,508.84 = 7,356.64/x
  3. Step 3: Cross multiply
    15,683.64x = 23,508.84 × 7,356.64
  4. Step 4: Simplify right side
    15,683.64x = 172,946,072.70
  5. Step 5: Solve for x
    x = 172,946,072.70/15,683.64
  6. Step 6: Final answer
    x = 11,027.16

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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.