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Finding the Fourth Proportional to 8,284.91, 11,429.25 and 4,746.11

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Solution

The fourth proportional to 8,284.91, 11,429.25 and 4,746.11 is: 6,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.91 : 11,429.25 = 4,746.11 : x
  2. Step 2: Convert to fraction form
    8,284.91/11,429.25 = 4,746.11/x
  3. Step 3: Cross multiply
    8,284.91x = 11,429.25 × 4,746.11
  4. Step 4: Simplify right side
    8,284.91x = 54,244,477.72
  5. Step 5: Solve for x
    x = 54,244,477.72/8,284.91
  6. Step 6: Final answer
    x = 6,547.38

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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.