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Finding the Fourth Proportional to 7,802.84, 11,707.17 and 4,052.27

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Solution

The fourth proportional to 7,802.84, 11,707.17 and 4,052.27 is: 6,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.84 : 11,707.17 = 4,052.27 : x
  2. Step 2: Convert to fraction form
    7,802.84/11,707.17 = 4,052.27/x
  3. Step 3: Cross multiply
    7,802.84x = 11,707.17 × 4,052.27
  4. Step 4: Simplify right side
    7,802.84x = 47,440,643.04
  5. Step 5: Solve for x
    x = 47,440,643.04/7,802.84
  6. Step 6: Final answer
    x = 6,079.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.