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Finding the Fourth Proportional to 10,607.50, 14,638.49 and 5,891.68

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Solution

The fourth proportional to 10,607.50, 14,638.49 and 5,891.68 is: 8,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.50 : 14,638.49 = 5,891.68 : x
  2. Step 2: Convert to fraction form
    10,607.50/14,638.49 = 5,891.68/x
  3. Step 3: Cross multiply
    10,607.50x = 14,638.49 × 5,891.68
  4. Step 4: Simplify right side
    10,607.50x = 86,245,298.76
  5. Step 5: Solve for x
    x = 86,245,298.76/10,607.50
  6. Step 6: Final answer
    x = 8,130.60

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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.