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Finding the Fourth Proportional to 14,878.58, 20,532.66 and 8,164.10

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Solution

The fourth proportional to 14,878.58, 20,532.66 and 8,164.10 is: 11,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.58 : 20,532.66 = 8,164.10 : x
  2. Step 2: Convert to fraction form
    14,878.58/20,532.66 = 8,164.10/x
  3. Step 3: Cross multiply
    14,878.58x = 20,532.66 × 8,164.10
  4. Step 4: Simplify right side
    14,878.58x = 167,630,689.51
  5. Step 5: Solve for x
    x = 167,630,689.51/14,878.58
  6. Step 6: Final answer
    x = 11,266.58

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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.