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Finding the Fourth Proportional to 4,483.72, 6,728.28 and 1,564.08

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Solution

The fourth proportional to 4,483.72, 6,728.28 and 1,564.08 is: 2,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.72 : 6,728.28 = 1,564.08 : x
  2. Step 2: Convert to fraction form
    4,483.72/6,728.28 = 1,564.08/x
  3. Step 3: Cross multiply
    4,483.72x = 6,728.28 × 1,564.08
  4. Step 4: Simplify right side
    4,483.72x = 10,523,568.18
  5. Step 5: Solve for x
    x = 10,523,568.18/4,483.72
  6. Step 6: Final answer
    x = 2,347.06

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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.