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Finding the Fourth Proportional to 4,548.74, 6,823.53 and 1,775.64

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Solution

The fourth proportional to 4,548.74, 6,823.53 and 1,775.64 is: 2,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.74 : 6,823.53 = 1,775.64 : x
  2. Step 2: Convert to fraction form
    4,548.74/6,823.53 = 1,775.64/x
  3. Step 3: Cross multiply
    4,548.74x = 6,823.53 × 1,775.64
  4. Step 4: Simplify right side
    4,548.74x = 12,116,132.81
  5. Step 5: Solve for x
    x = 12,116,132.81/4,548.74
  6. Step 6: Final answer
    x = 2,663.63

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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.