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Finding the Fourth Proportional to 4,733.48, 7,064.26 and 4,542.74

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Solution

The fourth proportional to 4,733.48, 7,064.26 and 4,542.74 is: 6,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.48 : 7,064.26 = 4,542.74 : x
  2. Step 2: Convert to fraction form
    4,733.48/7,064.26 = 4,542.74/x
  3. Step 3: Cross multiply
    4,733.48x = 7,064.26 × 4,542.74
  4. Step 4: Simplify right side
    4,733.48x = 32,091,096.47
  5. Step 5: Solve for x
    x = 32,091,096.47/4,733.48
  6. Step 6: Final answer
    x = 6,779.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.