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Finding the Fourth Proportional to 6,509.84, 8,984.04 and 3,715.76

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Solution

The fourth proportional to 6,509.84, 8,984.04 and 3,715.76 is: 5,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.84 : 8,984.04 = 3,715.76 : x
  2. Step 2: Convert to fraction form
    6,509.84/8,984.04 = 3,715.76/x
  3. Step 3: Cross multiply
    6,509.84x = 8,984.04 × 3,715.76
  4. Step 4: Simplify right side
    6,509.84x = 33,382,536.47
  5. Step 5: Solve for x
    x = 33,382,536.47/6,509.84
  6. Step 6: Final answer
    x = 5,128.01

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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.