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Finding the Fourth Proportional to 4,847.64, 7,271.82 and 4,585.20

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Solution

The fourth proportional to 4,847.64, 7,271.82 and 4,585.20 is: 6,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.64 : 7,271.82 = 4,585.20 : x
  2. Step 2: Convert to fraction form
    4,847.64/7,271.82 = 4,585.20/x
  3. Step 3: Cross multiply
    4,847.64x = 7,271.82 × 4,585.20
  4. Step 4: Simplify right side
    4,847.64x = 33,342,749.06
  5. Step 5: Solve for x
    x = 33,342,749.06/4,847.64
  6. Step 6: Final answer
    x = 6,878.14

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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.