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Finding the Fourth Proportional to 9,792.54, 14,606.15 and 8,315.10

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Solution

The fourth proportional to 9,792.54, 14,606.15 and 8,315.10 is: 12,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.54 : 14,606.15 = 8,315.10 : x
  2. Step 2: Convert to fraction form
    9,792.54/14,606.15 = 8,315.10/x
  3. Step 3: Cross multiply
    9,792.54x = 14,606.15 × 8,315.10
  4. Step 4: Simplify right side
    9,792.54x = 121,451,556.29
  5. Step 5: Solve for x
    x = 121,451,556.29/9,792.54
  6. Step 6: Final answer
    x = 12,402.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.