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Finding the Fourth Proportional to 4,595.60, 6,898.80 and 4,563.20

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Solution

The fourth proportional to 4,595.60, 6,898.80 and 4,563.20 is: 6,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.60 : 6,898.80 = 4,563.20 : x
  2. Step 2: Convert to fraction form
    4,595.60/6,898.80 = 4,563.20/x
  3. Step 3: Cross multiply
    4,595.60x = 6,898.80 × 4,563.20
  4. Step 4: Simplify right side
    4,595.60x = 31,480,604.16
  5. Step 5: Solve for x
    x = 31,480,604.16/4,595.60
  6. Step 6: Final answer
    x = 6,850.16

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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.