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Finding the Fourth Proportional to 25,784.88, 38,683.80 and 7,316.88

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Solution

The fourth proportional to 25,784.88, 38,683.80 and 7,316.88 is: 10,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.88 : 38,683.80 = 7,316.88 : x
  2. Step 2: Convert to fraction form
    25,784.88/38,683.80 = 7,316.88/x
  3. Step 3: Cross multiply
    25,784.88x = 38,683.80 × 7,316.88
  4. Step 4: Simplify right side
    25,784.88x = 283,044,722.54
  5. Step 5: Solve for x
    x = 283,044,722.54/25,784.88
  6. Step 6: Final answer
    x = 10,977.16

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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.