Home / 10,567.39-14,582-6,317.60

Finding the Fourth Proportional to 10,567.39, 14,582 and 6,317.60

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Solution

The fourth proportional to 10,567.39, 14,582 and 6,317.60 is: 8,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.39 : 14,582 = 6,317.60 : x
  2. Step 2: Convert to fraction form
    10,567.39/14,582 = 6,317.60/x
  3. Step 3: Cross multiply
    10,567.39x = 14,582 × 6,317.60
  4. Step 4: Simplify right side
    10,567.39x = 92,123,243.20
  5. Step 5: Solve for x
    x = 92,123,243.20/10,567.39
  6. Step 6: Final answer
    x = 8,717.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.