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Finding the Fourth Proportional to 4,562.80, 6,300.10 and 4,490.16

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Solution

The fourth proportional to 4,562.80, 6,300.10 and 4,490.16 is: 6,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.80 : 6,300.10 = 4,490.16 : x
  2. Step 2: Convert to fraction form
    4,562.80/6,300.10 = 4,490.16/x
  3. Step 3: Cross multiply
    4,562.80x = 6,300.10 × 4,490.16
  4. Step 4: Simplify right side
    4,562.80x = 28,288,457.02
  5. Step 5: Solve for x
    x = 28,288,457.02/4,562.80
  6. Step 6: Final answer
    x = 6,199.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.