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Finding the Fourth Proportional to 10,430, 14,391.16 and 6,182.40

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Solution

The fourth proportional to 10,430, 14,391.16 and 6,182.40 is: 8,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 14,391.16 = 6,182.40 : x
  2. Step 2: Convert to fraction form
    10,430/14,391.16 = 6,182.40/x
  3. Step 3: Cross multiply
    10,430x = 14,391.16 × 6,182.40
  4. Step 4: Simplify right side
    10,430x = 88,971,907.58
  5. Step 5: Solve for x
    x = 88,971,907.58/10,430
  6. Step 6: Final answer
    x = 8,530.38

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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.