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Finding the Fourth Proportional to 7,792.16, 11,632.71 and 7,518.74

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Solution

The fourth proportional to 7,792.16, 11,632.71 and 7,518.74 is: 11,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.16 : 11,632.71 = 7,518.74 : x
  2. Step 2: Convert to fraction form
    7,792.16/11,632.71 = 7,518.74/x
  3. Step 3: Cross multiply
    7,792.16x = 11,632.71 × 7,518.74
  4. Step 4: Simplify right side
    7,792.16x = 87,463,284.39
  5. Step 5: Solve for x
    x = 87,463,284.39/7,792.16
  6. Step 6: Final answer
    x = 11,224.52

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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.