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Finding the Fourth Proportional to 9,506.16, 13,122 and 7,144.20

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Solution

The fourth proportional to 9,506.16, 13,122 and 7,144.20 is: 9,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.16 : 13,122 = 7,144.20 : x
  2. Step 2: Convert to fraction form
    9,506.16/13,122 = 7,144.20/x
  3. Step 3: Cross multiply
    9,506.16x = 13,122 × 7,144.20
  4. Step 4: Simplify right side
    9,506.16x = 93,746,192.40
  5. Step 5: Solve for x
    x = 93,746,192.40/9,506.16
  6. Step 6: Final answer
    x = 9,861.63

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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.