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Finding the Fourth Proportional to 9,177.48, 13,764.40 and 4,495.48

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Solution

The fourth proportional to 9,177.48, 13,764.40 and 4,495.48 is: 6,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.48 : 13,764.40 = 4,495.48 : x
  2. Step 2: Convert to fraction form
    9,177.48/13,764.40 = 4,495.48/x
  3. Step 3: Cross multiply
    9,177.48x = 13,764.40 × 4,495.48
  4. Step 4: Simplify right side
    9,177.48x = 61,877,584.91
  5. Step 5: Solve for x
    x = 61,877,584.91/9,177.48
  6. Step 6: Final answer
    x = 6,742.33

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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.