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Finding the Fourth Proportional to 10,673.75, 14,730.00 and 5,893.68

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Solution

The fourth proportional to 10,673.75, 14,730.00 and 5,893.68 is: 8,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.75 : 14,730.00 = 5,893.68 : x
  2. Step 2: Convert to fraction form
    10,673.75/14,730.00 = 5,893.68/x
  3. Step 3: Cross multiply
    10,673.75x = 14,730.00 × 5,893.68
  4. Step 4: Simplify right side
    10,673.75x = 86,813,803.28
  5. Step 5: Solve for x
    x = 86,813,803.28/10,673.75
  6. Step 6: Final answer
    x = 8,133.40

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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.