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Finding the Fourth Proportional to 7,897.80, 11,848.14 and 4,562.76

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Solution

The fourth proportional to 7,897.80, 11,848.14 and 4,562.76 is: 6,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.80 : 11,848.14 = 4,562.76 : x
  2. Step 2: Convert to fraction form
    7,897.80/11,848.14 = 4,562.76/x
  3. Step 3: Cross multiply
    7,897.80x = 11,848.14 × 4,562.76
  4. Step 4: Simplify right side
    7,897.80x = 54,060,219.27
  5. Step 5: Solve for x
    x = 54,060,219.27/7,897.80
  6. Step 6: Final answer
    x = 6,844.97

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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.