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Finding the Fourth Proportional to 15,683.65, 23,495.74 and 8,653.12

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Solution

The fourth proportional to 15,683.65, 23,495.74 and 8,653.12 is: 12,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.65 : 23,495.74 = 8,653.12 : x
  2. Step 2: Convert to fraction form
    15,683.65/23,495.74 = 8,653.12/x
  3. Step 3: Cross multiply
    15,683.65x = 23,495.74 × 8,653.12
  4. Step 4: Simplify right side
    15,683.65x = 203,311,377.34
  5. Step 5: Solve for x
    x = 203,311,377.34/15,683.65
  6. Step 6: Final answer
    x = 12,963.27

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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.