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Finding the Fourth Proportional to 6,999.90, 9,916.53 and 6,999.90

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Solution

The fourth proportional to 6,999.90, 9,916.53 and 6,999.90 is: 9,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.90 : 9,916.53 = 6,999.90 : x
  2. Step 2: Convert to fraction form
    6,999.90/9,916.53 = 6,999.90/x
  3. Step 3: Cross multiply
    6,999.90x = 9,916.53 × 6,999.90
  4. Step 4: Simplify right side
    6,999.90x = 69,414,718.35
  5. Step 5: Solve for x
    x = 69,414,718.35/6,999.90
  6. Step 6: Final answer
    x = 9,916.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.