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Finding the Fourth Proportional to 9,292.56, 12,824.58 and 5,312.88

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Solution

The fourth proportional to 9,292.56, 12,824.58 and 5,312.88 is: 7,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.56 : 12,824.58 = 5,312.88 : x
  2. Step 2: Convert to fraction form
    9,292.56/12,824.58 = 5,312.88/x
  3. Step 3: Cross multiply
    9,292.56x = 12,824.58 × 5,312.88
  4. Step 4: Simplify right side
    9,292.56x = 68,135,454.59
  5. Step 5: Solve for x
    x = 68,135,454.59/9,292.56
  6. Step 6: Final answer
    x = 7,332.26

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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.