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Finding the Fourth Proportional to 14,646.18, 20,210.46 and 8,676.84

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Solution

The fourth proportional to 14,646.18, 20,210.46 and 8,676.84 is: 11,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.18 : 20,210.46 = 8,676.84 : x
  2. Step 2: Convert to fraction form
    14,646.18/20,210.46 = 8,676.84/x
  3. Step 3: Cross multiply
    14,646.18x = 20,210.46 × 8,676.84
  4. Step 4: Simplify right side
    14,646.18x = 175,362,927.75
  5. Step 5: Solve for x
    x = 175,362,927.75/14,646.18
  6. Step 6: Final answer
    x = 11,973.29

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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.