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Finding the Fourth Proportional to 10,197.99, 14,071.16 and 7,369.67

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Solution

The fourth proportional to 10,197.99, 14,071.16 and 7,369.67 is: 10,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.99 : 14,071.16 = 7,369.67 : x
  2. Step 2: Convert to fraction form
    10,197.99/14,071.16 = 7,369.67/x
  3. Step 3: Cross multiply
    10,197.99x = 14,071.16 × 7,369.67
  4. Step 4: Simplify right side
    10,197.99x = 103,699,698.51
  5. Step 5: Solve for x
    x = 103,699,698.51/10,197.99
  6. Step 6: Final answer
    x = 10,168.64

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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.