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Finding the Fourth Proportional to 9,136.54, 12,607.14 and 5,157.46

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Solution

The fourth proportional to 9,136.54, 12,607.14 and 5,157.46 is: 7,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.54 : 12,607.14 = 5,157.46 : x
  2. Step 2: Convert to fraction form
    9,136.54/12,607.14 = 5,157.46/x
  3. Step 3: Cross multiply
    9,136.54x = 12,607.14 × 5,157.46
  4. Step 4: Simplify right side
    9,136.54x = 65,020,820.26
  5. Step 5: Solve for x
    x = 65,020,820.26/9,136.54
  6. Step 6: Final answer
    x = 7,116.57

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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.