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Finding the Fourth Proportional to 7,774.68, 11,655.54 and 3,873.72

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Solution

The fourth proportional to 7,774.68, 11,655.54 and 3,873.72 is: 5,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.68 : 11,655.54 = 3,873.72 : x
  2. Step 2: Convert to fraction form
    7,774.68/11,655.54 = 3,873.72/x
  3. Step 3: Cross multiply
    7,774.68x = 11,655.54 × 3,873.72
  4. Step 4: Simplify right side
    7,774.68x = 45,150,298.41
  5. Step 5: Solve for x
    x = 45,150,298.41/7,774.68
  6. Step 6: Final answer
    x = 5,807.35

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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.