Home / 11,023-16,534.59-4,097.50

Finding the Fourth Proportional to 11,023, 16,534.59 and 4,097.50

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Solution

The fourth proportional to 11,023, 16,534.59 and 4,097.50 is: 6,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023 : 16,534.59 = 4,097.50 : x
  2. Step 2: Convert to fraction form
    11,023/16,534.59 = 4,097.50/x
  3. Step 3: Cross multiply
    11,023x = 16,534.59 × 4,097.50
  4. Step 4: Simplify right side
    11,023x = 67,750,482.53
  5. Step 5: Solve for x
    x = 67,750,482.53/11,023
  6. Step 6: Final answer
    x = 6,146.28

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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.