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Finding the Fourth Proportional to 11,463.58, 15,823.10 and 7,485.31

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Solution

The fourth proportional to 11,463.58, 15,823.10 and 7,485.31 is: 10,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.58 : 15,823.10 = 7,485.31 : x
  2. Step 2: Convert to fraction form
    11,463.58/15,823.10 = 7,485.31/x
  3. Step 3: Cross multiply
    11,463.58x = 15,823.10 × 7,485.31
  4. Step 4: Simplify right side
    11,463.58x = 118,440,805.05
  5. Step 5: Solve for x
    x = 118,440,805.05/11,463.58
  6. Step 6: Final answer
    x = 10,331.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.