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Finding the Fourth Proportional to 9,246.30, 12,977.63 and 9,246.30

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Solution

The fourth proportional to 9,246.30, 12,977.63 and 9,246.30 is: 12,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.30 : 12,977.63 = 9,246.30 : x
  2. Step 2: Convert to fraction form
    9,246.30/12,977.63 = 9,246.30/x
  3. Step 3: Cross multiply
    9,246.30x = 12,977.63 × 9,246.30
  4. Step 4: Simplify right side
    9,246.30x = 119,995,014.04
  5. Step 5: Solve for x
    x = 119,995,014.04/9,246.30
  6. Step 6: Final answer
    x = 12,977.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.