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Finding the Fourth Proportional to 9,376.16, 12,947.04 and 6,026.40

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Solution

The fourth proportional to 9,376.16, 12,947.04 and 6,026.40 is: 8,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.16 : 12,947.04 = 6,026.40 : x
  2. Step 2: Convert to fraction form
    9,376.16/12,947.04 = 6,026.40/x
  3. Step 3: Cross multiply
    9,376.16x = 12,947.04 × 6,026.40
  4. Step 4: Simplify right side
    9,376.16x = 78,024,041.86
  5. Step 5: Solve for x
    x = 78,024,041.86/9,376.16
  6. Step 6: Final answer
    x = 8,321.54

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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.