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Finding the Fourth Proportional to 9,293.63, 12,825.05 and 5,315.10

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Solution

The fourth proportional to 9,293.63, 12,825.05 and 5,315.10 is: 7,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.63 : 12,825.05 = 5,315.10 : x
  2. Step 2: Convert to fraction form
    9,293.63/12,825.05 = 5,315.10/x
  3. Step 3: Cross multiply
    9,293.63x = 12,825.05 × 5,315.10
  4. Step 4: Simplify right side
    9,293.63x = 68,166,396.68
  5. Step 5: Solve for x
    x = 68,166,396.68/9,293.63
  6. Step 6: Final answer
    x = 7,334.75

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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.