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Finding the Fourth Proportional to 25,294.32, 37,941.33 and 7,763.64

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Solution

The fourth proportional to 25,294.32, 37,941.33 and 7,763.64 is: 11,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.32 : 37,941.33 = 7,763.64 : x
  2. Step 2: Convert to fraction form
    25,294.32/37,941.33 = 7,763.64/x
  3. Step 3: Cross multiply
    25,294.32x = 37,941.33 × 7,763.64
  4. Step 4: Simplify right side
    25,294.32x = 294,562,827.24
  5. Step 5: Solve for x
    x = 294,562,827.24/25,294.32
  6. Step 6: Final answer
    x = 11,645.41

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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.