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Finding the Fourth Proportional to 8,970.66, 13,445.82 and 4,578.84

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Solution

The fourth proportional to 8,970.66, 13,445.82 and 4,578.84 is: 6,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.66 : 13,445.82 = 4,578.84 : x
  2. Step 2: Convert to fraction form
    8,970.66/13,445.82 = 4,578.84/x
  3. Step 3: Cross multiply
    8,970.66x = 13,445.82 × 4,578.84
  4. Step 4: Simplify right side
    8,970.66x = 61,566,258.45
  5. Step 5: Solve for x
    x = 61,566,258.45/8,970.66
  6. Step 6: Final answer
    x = 6,863.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.