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Finding the Fourth Proportional to 7,848.70, 11,773.05 and 2,583.50

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Solution

The fourth proportional to 7,848.70, 11,773.05 and 2,583.50 is: 3,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.70 : 11,773.05 = 2,583.50 : x
  2. Step 2: Convert to fraction form
    7,848.70/11,773.05 = 2,583.50/x
  3. Step 3: Cross multiply
    7,848.70x = 11,773.05 × 2,583.50
  4. Step 4: Simplify right side
    7,848.70x = 30,415,606.12
  5. Step 5: Solve for x
    x = 30,415,606.12/7,848.70
  6. Step 6: Final answer
    x = 3,875.24

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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.