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Finding the Fourth Proportional to 10,425.86, 15,623.10 and 6,261.32

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Solution

The fourth proportional to 10,425.86, 15,623.10 and 6,261.32 is: 9,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.86 : 15,623.10 = 6,261.32 : x
  2. Step 2: Convert to fraction form
    10,425.86/15,623.10 = 6,261.32/x
  3. Step 3: Cross multiply
    10,425.86x = 15,623.10 × 6,261.32
  4. Step 4: Simplify right side
    10,425.86x = 97,821,228.49
  5. Step 5: Solve for x
    x = 97,821,228.49/10,425.86
  6. Step 6: Final answer
    x = 9,382.56

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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.