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Finding the Fourth Proportional to 8,044.42, 12,071.76 and 4,349.20

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Solution

The fourth proportional to 8,044.42, 12,071.76 and 4,349.20 is: 6,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.42 : 12,071.76 = 4,349.20 : x
  2. Step 2: Convert to fraction form
    8,044.42/12,071.76 = 4,349.20/x
  3. Step 3: Cross multiply
    8,044.42x = 12,071.76 × 4,349.20
  4. Step 4: Simplify right side
    8,044.42x = 52,502,498.59
  5. Step 5: Solve for x
    x = 52,502,498.59/8,044.42
  6. Step 6: Final answer
    x = 6,526.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.