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Finding the Fourth Proportional to 9,754.90, 14,621.86 and 4,210.86

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Solution

The fourth proportional to 9,754.90, 14,621.86 and 4,210.86 is: 6,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.90 : 14,621.86 = 4,210.86 : x
  2. Step 2: Convert to fraction form
    9,754.90/14,621.86 = 4,210.86/x
  3. Step 3: Cross multiply
    9,754.90x = 14,621.86 × 4,210.86
  4. Step 4: Simplify right side
    9,754.90x = 61,570,605.40
  5. Step 5: Solve for x
    x = 61,570,605.40/9,754.90
  6. Step 6: Final answer
    x = 6,311.76

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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.