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Finding the Fourth Proportional to 4,548.94, 6,823.10 and 1,775.10

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Solution

The fourth proportional to 4,548.94, 6,823.10 and 1,775.10 is: 2,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.94 : 6,823.10 = 1,775.10 : x
  2. Step 2: Convert to fraction form
    4,548.94/6,823.10 = 1,775.10/x
  3. Step 3: Cross multiply
    4,548.94x = 6,823.10 × 1,775.10
  4. Step 4: Simplify right side
    4,548.94x = 12,111,655.13
  5. Step 5: Solve for x
    x = 12,111,655.13/4,548.94
  6. Step 6: Final answer
    x = 2,662.52

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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.