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Finding the Fourth Proportional to 12,202.10, 16,848.44 and 9,364.98

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Solution

The fourth proportional to 12,202.10, 16,848.44 and 9,364.98 is: 12,931.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.10 : 16,848.44 = 9,364.98 : x
  2. Step 2: Convert to fraction form
    12,202.10/16,848.44 = 9,364.98/x
  3. Step 3: Cross multiply
    12,202.10x = 16,848.44 × 9,364.98
  4. Step 4: Simplify right side
    12,202.10x = 157,785,256.81
  5. Step 5: Solve for x
    x = 157,785,256.81/12,202.10
  6. Step 6: Final answer
    x = 12,931.00

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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.