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Finding the Fourth Proportional to 8,484.84, 11,709 and 4,708.20

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Solution

The fourth proportional to 8,484.84, 11,709 and 4,708.20 is: 6,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.84 : 11,709 = 4,708.20 : x
  2. Step 2: Convert to fraction form
    8,484.84/11,709 = 4,708.20/x
  3. Step 3: Cross multiply
    8,484.84x = 11,709 × 4,708.20
  4. Step 4: Simplify right side
    8,484.84x = 55,128,313.80
  5. Step 5: Solve for x
    x = 55,128,313.80/8,484.84
  6. Step 6: Final answer
    x = 6,497.27

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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.