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Finding the Fourth Proportional to 10,297.68, 14,206.08 and 6,048.68

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Solution

The fourth proportional to 10,297.68, 14,206.08 and 6,048.68 is: 8,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.68 : 14,206.08 = 6,048.68 : x
  2. Step 2: Convert to fraction form
    10,297.68/14,206.08 = 6,048.68/x
  3. Step 3: Cross multiply
    10,297.68x = 14,206.08 × 6,048.68
  4. Step 4: Simplify right side
    10,297.68x = 85,927,960.94
  5. Step 5: Solve for x
    x = 85,927,960.94/10,297.68
  6. Step 6: Final answer
    x = 8,344.40

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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.