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Finding the Fourth Proportional to 9,292.60, 12,824.22 and 5,312.68

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Solution

The fourth proportional to 9,292.60, 12,824.22 and 5,312.68 is: 7,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.60 : 12,824.22 = 5,312.68 : x
  2. Step 2: Convert to fraction form
    9,292.60/12,824.22 = 5,312.68/x
  3. Step 3: Cross multiply
    9,292.60x = 12,824.22 × 5,312.68
  4. Step 4: Simplify right side
    9,292.60x = 68,130,977.11
  5. Step 5: Solve for x
    x = 68,130,977.11/9,292.60
  6. Step 6: Final answer
    x = 7,331.75

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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.