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Finding the Fourth Proportional to 11,848.70, 16,358.88 and 7,374.26

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Solution

The fourth proportional to 11,848.70, 16,358.88 and 7,374.26 is: 10,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.70 : 16,358.88 = 7,374.26 : x
  2. Step 2: Convert to fraction form
    11,848.70/16,358.88 = 7,374.26/x
  3. Step 3: Cross multiply
    11,848.70x = 16,358.88 × 7,374.26
  4. Step 4: Simplify right side
    11,848.70x = 120,634,552.63
  5. Step 5: Solve for x
    x = 120,634,552.63/11,848.70
  6. Step 6: Final answer
    x = 10,181.25

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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.