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Finding the Fourth Proportional to 15,211.32, 22,820.64 and 4,823.07

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Solution

The fourth proportional to 15,211.32, 22,820.64 and 4,823.07 is: 7,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.32 : 22,820.64 = 4,823.07 : x
  2. Step 2: Convert to fraction form
    15,211.32/22,820.64 = 4,823.07/x
  3. Step 3: Cross multiply
    15,211.32x = 22,820.64 × 4,823.07
  4. Step 4: Simplify right side
    15,211.32x = 110,065,544.16
  5. Step 5: Solve for x
    x = 110,065,544.16/15,211.32
  6. Step 6: Final answer
    x = 7,235.77

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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.