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Finding the Fourth Proportional to 15,778.58, 23,668.00 and 7,458.80

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Solution

The fourth proportional to 15,778.58, 23,668.00 and 7,458.80 is: 11,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.58 : 23,668.00 = 7,458.80 : x
  2. Step 2: Convert to fraction form
    15,778.58/23,668.00 = 7,458.80/x
  3. Step 3: Cross multiply
    15,778.58x = 23,668.00 × 7,458.80
  4. Step 4: Simplify right side
    15,778.58x = 176,534,741.41
  5. Step 5: Solve for x
    x = 176,534,741.41/15,778.58
  6. Step 6: Final answer
    x = 11,188.26

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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.