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Finding the Fourth Proportional to 9,527.16, 14,294.16 and 4,261.74

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Solution

The fourth proportional to 9,527.16, 14,294.16 and 4,261.74 is: 6,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.16 : 14,294.16 = 4,261.74 : x
  2. Step 2: Convert to fraction form
    9,527.16/14,294.16 = 4,261.74/x
  3. Step 3: Cross multiply
    9,527.16x = 14,294.16 × 4,261.74
  4. Step 4: Simplify right side
    9,527.16x = 60,917,993.44
  5. Step 5: Solve for x
    x = 60,917,993.44/9,527.16
  6. Step 6: Final answer
    x = 6,394.14

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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.