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Finding the Fourth Proportional to 12,298.63, 16,972.16 and 6,709.75

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Solution

The fourth proportional to 12,298.63, 16,972.16 and 6,709.75 is: 9,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.63 : 16,972.16 = 6,709.75 : x
  2. Step 2: Convert to fraction form
    12,298.63/16,972.16 = 6,709.75/x
  3. Step 3: Cross multiply
    12,298.63x = 16,972.16 × 6,709.75
  4. Step 4: Simplify right side
    12,298.63x = 113,878,924.90
  5. Step 5: Solve for x
    x = 113,878,924.90/12,298.63
  6. Step 6: Final answer
    x = 9,259.48

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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.