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Finding the Fourth Proportional to 12,196.80, 16,802.64 and 10,058.40

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Solution

The fourth proportional to 12,196.80, 16,802.64 and 10,058.40 is: 13,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.80 : 16,802.64 = 10,058.40 : x
  2. Step 2: Convert to fraction form
    12,196.80/16,802.64 = 10,058.40/x
  3. Step 3: Cross multiply
    12,196.80x = 16,802.64 × 10,058.40
  4. Step 4: Simplify right side
    12,196.80x = 169,007,674.18
  5. Step 5: Solve for x
    x = 169,007,674.18/12,196.80
  6. Step 6: Final answer
    x = 13,856.72

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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.