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Finding the Fourth Proportional to 9,574.88, 14,363.76 and 3,000.20

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Solution

The fourth proportional to 9,574.88, 14,363.76 and 3,000.20 is: 4,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.88 : 14,363.76 = 3,000.20 : x
  2. Step 2: Convert to fraction form
    9,574.88/14,363.76 = 3,000.20/x
  3. Step 3: Cross multiply
    9,574.88x = 14,363.76 × 3,000.20
  4. Step 4: Simplify right side
    9,574.88x = 43,094,152.75
  5. Step 5: Solve for x
    x = 43,094,152.75/9,574.88
  6. Step 6: Final answer
    x = 4,500.75

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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.