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Finding the Fourth Proportional to 5,895.14, 8,125.50 and 5,056.80

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Solution

The fourth proportional to 5,895.14, 8,125.50 and 5,056.80 is: 6,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.14 : 8,125.50 = 5,056.80 : x
  2. Step 2: Convert to fraction form
    5,895.14/8,125.50 = 5,056.80/x
  3. Step 3: Cross multiply
    5,895.14x = 8,125.50 × 5,056.80
  4. Step 4: Simplify right side
    5,895.14x = 41,089,028.40
  5. Step 5: Solve for x
    x = 41,089,028.40/5,895.14
  6. Step 6: Final answer
    x = 6,969.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.