Home / 10,206.32-15,300.84-4,046

Finding the Fourth Proportional to 10,206.32, 15,300.84 and 4,046

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Solution

The fourth proportional to 10,206.32, 15,300.84 and 4,046 is: 6,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.32 : 15,300.84 = 4,046 : x
  2. Step 2: Convert to fraction form
    10,206.32/15,300.84 = 4,046/x
  3. Step 3: Cross multiply
    10,206.32x = 15,300.84 × 4,046
  4. Step 4: Simplify right side
    10,206.32x = 61,907,198.64
  5. Step 5: Solve for x
    x = 61,907,198.64/10,206.32
  6. Step 6: Final answer
    x = 6,065.57

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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.