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Finding the Fourth Proportional to 15,782.10, 23,662.35 and 7,466.10

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Solution

The fourth proportional to 15,782.10, 23,662.35 and 7,466.10 is: 11,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.10 : 23,662.35 = 7,466.10 : x
  2. Step 2: Convert to fraction form
    15,782.10/23,662.35 = 7,466.10/x
  3. Step 3: Cross multiply
    15,782.10x = 23,662.35 × 7,466.10
  4. Step 4: Simplify right side
    15,782.10x = 176,665,471.34
  5. Step 5: Solve for x
    x = 176,665,471.34/15,782.10
  6. Step 6: Final answer
    x = 11,194.04

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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.