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Finding the Fourth Proportional to 6,971.76, 10,396.14 and 6,004.08

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Solution

The fourth proportional to 6,971.76, 10,396.14 and 6,004.08 is: 8,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.76 : 10,396.14 = 6,004.08 : x
  2. Step 2: Convert to fraction form
    6,971.76/10,396.14 = 6,004.08/x
  3. Step 3: Cross multiply
    6,971.76x = 10,396.14 × 6,004.08
  4. Step 4: Simplify right side
    6,971.76x = 62,419,256.25
  5. Step 5: Solve for x
    x = 62,419,256.25/6,971.76
  6. Step 6: Final answer
    x = 8,953.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.