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Finding the Fourth Proportional to 9,506.30, 14,257.76 and 9,047.03

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Solution

The fourth proportional to 9,506.30, 14,257.76 and 9,047.03 is: 13,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.30 : 14,257.76 = 9,047.03 : x
  2. Step 2: Convert to fraction form
    9,506.30/14,257.76 = 9,047.03/x
  3. Step 3: Cross multiply
    9,506.30x = 14,257.76 × 9,047.03
  4. Step 4: Simplify right side
    9,506.30x = 128,990,265.93
  5. Step 5: Solve for x
    x = 128,990,265.93/9,506.30
  6. Step 6: Final answer
    x = 13,568.93

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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.