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Finding the Fourth Proportional to 7,637.90, 10,538.00 and 4,944.84

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Solution

The fourth proportional to 7,637.90, 10,538.00 and 4,944.84 is: 6,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.90 : 10,538.00 = 4,944.84 : x
  2. Step 2: Convert to fraction form
    7,637.90/10,538.00 = 4,944.84/x
  3. Step 3: Cross multiply
    7,637.90x = 10,538.00 × 4,944.84
  4. Step 4: Simplify right side
    7,637.90x = 52,108,699.20
  5. Step 5: Solve for x
    x = 52,108,699.20/7,637.90
  6. Step 6: Final answer
    x = 6,822.39

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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.