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Finding the Fourth Proportional to 10,369.10, 14,318.10 and 7,023.02

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Solution

The fourth proportional to 10,369.10, 14,318.10 and 7,023.02 is: 9,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.10 : 14,318.10 = 7,023.02 : x
  2. Step 2: Convert to fraction form
    10,369.10/14,318.10 = 7,023.02/x
  3. Step 3: Cross multiply
    10,369.10x = 14,318.10 × 7,023.02
  4. Step 4: Simplify right side
    10,369.10x = 100,556,302.66
  5. Step 5: Solve for x
    x = 100,556,302.66/10,369.10
  6. Step 6: Final answer
    x = 9,697.69

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1.5x scale

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.