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Finding the Fourth Proportional to 7,077.84, 9,764.28 and 4,717.68

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Solution

The fourth proportional to 7,077.84, 9,764.28 and 4,717.68 is: 6,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.84 : 9,764.28 = 4,717.68 : x
  2. Step 2: Convert to fraction form
    7,077.84/9,764.28 = 4,717.68/x
  3. Step 3: Cross multiply
    7,077.84x = 9,764.28 × 4,717.68
  4. Step 4: Simplify right side
    7,077.84x = 46,064,748.47
  5. Step 5: Solve for x
    x = 46,064,748.47/7,077.84
  6. Step 6: Final answer
    x = 6,508.31

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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.