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Finding the Fourth Proportional to 9,482.54, 14,223.80 and 5,268.46

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Solution

The fourth proportional to 9,482.54, 14,223.80 and 5,268.46 is: 7,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.54 : 14,223.80 = 5,268.46 : x
  2. Step 2: Convert to fraction form
    9,482.54/14,223.80 = 5,268.46/x
  3. Step 3: Cross multiply
    9,482.54x = 14,223.80 × 5,268.46
  4. Step 4: Simplify right side
    9,482.54x = 74,937,498.96
  5. Step 5: Solve for x
    x = 74,937,498.96/9,482.54
  6. Step 6: Final answer
    x = 7,902.69

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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.