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Finding the Fourth Proportional to 9,809.99, 14,706.69 and 4,259.14

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Solution

The fourth proportional to 9,809.99, 14,706.69 and 4,259.14 is: 6,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.99 : 14,706.69 = 4,259.14 : x
  2. Step 2: Convert to fraction form
    9,809.99/14,706.69 = 4,259.14/x
  3. Step 3: Cross multiply
    9,809.99x = 14,706.69 × 4,259.14
  4. Step 4: Simplify right side
    9,809.99x = 62,637,778.11
  5. Step 5: Solve for x
    x = 62,637,778.11/9,809.99
  6. Step 6: Final answer
    x = 6,385.10

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1.5x scale

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.