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Finding the Fourth Proportional to 9,661.40, 14,492.10 and 4,734.20

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Solution

The fourth proportional to 9,661.40, 14,492.10 and 4,734.20 is: 7,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.40 : 14,492.10 = 4,734.20 : x
  2. Step 2: Convert to fraction form
    9,661.40/14,492.10 = 4,734.20/x
  3. Step 3: Cross multiply
    9,661.40x = 14,492.10 × 4,734.20
  4. Step 4: Simplify right side
    9,661.40x = 68,608,499.82
  5. Step 5: Solve for x
    x = 68,608,499.82/9,661.40
  6. Step 6: Final answer
    x = 7,101.30

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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.