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Finding the Fourth Proportional to 8,484, 12,730.08 and 6,416.64

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Solution

The fourth proportional to 8,484, 12,730.08 and 6,416.64 is: 9,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484 : 12,730.08 = 6,416.64 : x
  2. Step 2: Convert to fraction form
    8,484/12,730.08 = 6,416.64/x
  3. Step 3: Cross multiply
    8,484x = 12,730.08 × 6,416.64
  4. Step 4: Simplify right side
    8,484x = 81,684,340.53
  5. Step 5: Solve for x
    x = 81,684,340.53/8,484
  6. Step 6: Final answer
    x = 9,628.05

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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.