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Finding the Fourth Proportional to 9,474.34, 13,074 and 5,225.23

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Solution

The fourth proportional to 9,474.34, 13,074 and 5,225.23 is: 7,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.34 : 13,074 = 5,225.23 : x
  2. Step 2: Convert to fraction form
    9,474.34/13,074 = 5,225.23/x
  3. Step 3: Cross multiply
    9,474.34x = 13,074 × 5,225.23
  4. Step 4: Simplify right side
    9,474.34x = 68,314,657.02
  5. Step 5: Solve for x
    x = 68,314,657.02/9,474.34
  6. Step 6: Final answer
    x = 7,210.49

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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.