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Finding the Fourth Proportional to 5,669.84, 8,505 and 1,774.16

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Solution

The fourth proportional to 5,669.84, 8,505 and 1,774.16 is: 2,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.84 : 8,505 = 1,774.16 : x
  2. Step 2: Convert to fraction form
    5,669.84/8,505 = 1,774.16/x
  3. Step 3: Cross multiply
    5,669.84x = 8,505 × 1,774.16
  4. Step 4: Simplify right side
    5,669.84x = 15,089,230.80
  5. Step 5: Solve for x
    x = 15,089,230.80/5,669.84
  6. Step 6: Final answer
    x = 2,661.32

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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.