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Finding the Fourth Proportional to 10,494.54, 14,484.04 and 7,972.50

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Solution

The fourth proportional to 10,494.54, 14,484.04 and 7,972.50 is: 11,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.54 : 14,484.04 = 7,972.50 : x
  2. Step 2: Convert to fraction form
    10,494.54/14,484.04 = 7,972.50/x
  3. Step 3: Cross multiply
    10,494.54x = 14,484.04 × 7,972.50
  4. Step 4: Simplify right side
    10,494.54x = 115,474,008.90
  5. Step 5: Solve for x
    x = 115,474,008.90/10,494.54
  6. Step 6: Final answer
    x = 11,003.25

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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.