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Finding the Fourth Proportional to 8,315.71, 11,477.64 and 4,780.97

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Solution

The fourth proportional to 8,315.71, 11,477.64 and 4,780.97 is: 6,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.71 : 11,477.64 = 4,780.97 : x
  2. Step 2: Convert to fraction form
    8,315.71/11,477.64 = 4,780.97/x
  3. Step 3: Cross multiply
    8,315.71x = 11,477.64 × 4,780.97
  4. Step 4: Simplify right side
    8,315.71x = 54,874,252.51
  5. Step 5: Solve for x
    x = 54,874,252.51/8,315.71
  6. Step 6: Final answer
    x = 6,598.87

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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.