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Finding the Fourth Proportional to 7,095.84, 9,792.25 and 4,113.40

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Solution

The fourth proportional to 7,095.84, 9,792.25 and 4,113.40 is: 5,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.84 : 9,792.25 = 4,113.40 : x
  2. Step 2: Convert to fraction form
    7,095.84/9,792.25 = 4,113.40/x
  3. Step 3: Cross multiply
    7,095.84x = 9,792.25 × 4,113.40
  4. Step 4: Simplify right side
    7,095.84x = 40,279,443.11
  5. Step 5: Solve for x
    x = 40,279,443.11/7,095.84
  6. Step 6: Final answer
    x = 5,676.49

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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.