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Finding the Fourth Proportional to 7,767.84, 10,721.01 and 4,580.94

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Solution

The fourth proportional to 7,767.84, 10,721.01 and 4,580.94 is: 6,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.84 : 10,721.01 = 4,580.94 : x
  2. Step 2: Convert to fraction form
    7,767.84/10,721.01 = 4,580.94/x
  3. Step 3: Cross multiply
    7,767.84x = 10,721.01 × 4,580.94
  4. Step 4: Simplify right side
    7,767.84x = 49,112,360.93
  5. Step 5: Solve for x
    x = 49,112,360.93/7,767.84
  6. Step 6: Final answer
    x = 6,322.52

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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.