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Finding the Fourth Proportional to 10,374.54, 15,541.02 and 9,829.44

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Solution

The fourth proportional to 10,374.54, 15,541.02 and 9,829.44 is: 14,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.54 : 15,541.02 = 9,829.44 : x
  2. Step 2: Convert to fraction form
    10,374.54/15,541.02 = 9,829.44/x
  3. Step 3: Cross multiply
    10,374.54x = 15,541.02 × 9,829.44
  4. Step 4: Simplify right side
    10,374.54x = 152,759,523.63
  5. Step 5: Solve for x
    x = 152,759,523.63/10,374.54
  6. Step 6: Final answer
    x = 14,724.46

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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.