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Finding the Fourth Proportional to 9,282.74, 12,788.53 and 7,594.31

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Solution

The fourth proportional to 9,282.74, 12,788.53 and 7,594.31 is: 10,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.74 : 12,788.53 = 7,594.31 : x
  2. Step 2: Convert to fraction form
    9,282.74/12,788.53 = 7,594.31/x
  3. Step 3: Cross multiply
    9,282.74x = 12,788.53 × 7,594.31
  4. Step 4: Simplify right side
    9,282.74x = 97,120,038.28
  5. Step 5: Solve for x
    x = 97,120,038.28/9,282.74
  6. Step 6: Final answer
    x = 10,462.43

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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.