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Finding the Fourth Proportional to 9,154.70, 13,716.35 and 6,147.10

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Solution

The fourth proportional to 9,154.70, 13,716.35 and 6,147.10 is: 9,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.70 : 13,716.35 = 6,147.10 : x
  2. Step 2: Convert to fraction form
    9,154.70/13,716.35 = 6,147.10/x
  3. Step 3: Cross multiply
    9,154.70x = 13,716.35 × 6,147.10
  4. Step 4: Simplify right side
    9,154.70x = 84,315,706.50
  5. Step 5: Solve for x
    x = 84,315,706.50/9,154.70
  6. Step 6: Final answer
    x = 9,210.11

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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.