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Finding the Fourth Proportional to 8,984.34, 12,403.53 and 6,005.22

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Solution

The fourth proportional to 8,984.34, 12,403.53 and 6,005.22 is: 8,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.34 : 12,403.53 = 6,005.22 : x
  2. Step 2: Convert to fraction form
    8,984.34/12,403.53 = 6,005.22/x
  3. Step 3: Cross multiply
    8,984.34x = 12,403.53 × 6,005.22
  4. Step 4: Simplify right side
    8,984.34x = 74,485,926.43
  5. Step 5: Solve for x
    x = 74,485,926.43/8,984.34
  6. Step 6: Final answer
    x = 8,290.64

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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.