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Finding the Fourth Proportional to 9,406.89, 12,980.93 and 5,215.14

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Solution

The fourth proportional to 9,406.89, 12,980.93 and 5,215.14 is: 7,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.89 : 12,980.93 = 5,215.14 : x
  2. Step 2: Convert to fraction form
    9,406.89/12,980.93 = 5,215.14/x
  3. Step 3: Cross multiply
    9,406.89x = 12,980.93 × 5,215.14
  4. Step 4: Simplify right side
    9,406.89x = 67,697,341.20
  5. Step 5: Solve for x
    x = 67,697,341.20/9,406.89
  6. Step 6: Final answer
    x = 7,196.57

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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.