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Finding the Fourth Proportional to 11,482.40, 17,207.20 and 6,541.60

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Solution

The fourth proportional to 11,482.40, 17,207.20 and 6,541.60 is: 9,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.40 : 17,207.20 = 6,541.60 : x
  2. Step 2: Convert to fraction form
    11,482.40/17,207.20 = 6,541.60/x
  3. Step 3: Cross multiply
    11,482.40x = 17,207.20 × 6,541.60
  4. Step 4: Simplify right side
    11,482.40x = 112,562,619.52
  5. Step 5: Solve for x
    x = 112,562,619.52/11,482.40
  6. Step 6: Final answer
    x = 9,803.06

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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.