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Finding the Fourth Proportional to 12,435.84, 18,656.64 and 7,822.08

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Solution

The fourth proportional to 12,435.84, 18,656.64 and 7,822.08 is: 11,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.84 : 18,656.64 = 7,822.08 : x
  2. Step 2: Convert to fraction form
    12,435.84/18,656.64 = 7,822.08/x
  3. Step 3: Cross multiply
    12,435.84x = 18,656.64 × 7,822.08
  4. Step 4: Simplify right side
    12,435.84x = 145,933,730.61
  5. Step 5: Solve for x
    x = 145,933,730.61/12,435.84
  6. Step 6: Final answer
    x = 11,734.93

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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.