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Finding the Fourth Proportional to 9,619.60, 14,405.10 and 9,182.20

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Solution

The fourth proportional to 9,619.60, 14,405.10 and 9,182.20 is: 13,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.60 : 14,405.10 = 9,182.20 : x
  2. Step 2: Convert to fraction form
    9,619.60/14,405.10 = 9,182.20/x
  3. Step 3: Cross multiply
    9,619.60x = 14,405.10 × 9,182.20
  4. Step 4: Simplify right side
    9,619.60x = 132,270,509.22
  5. Step 5: Solve for x
    x = 132,270,509.22/9,619.60
  6. Step 6: Final answer
    x = 13,750.10

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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.