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Finding the Fourth Proportional to 10,184.70, 14,055.09 and 7,205.70

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Solution

The fourth proportional to 10,184.70, 14,055.09 and 7,205.70 is: 9,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.70 : 14,055.09 = 7,205.70 : x
  2. Step 2: Convert to fraction form
    10,184.70/14,055.09 = 7,205.70/x
  3. Step 3: Cross multiply
    10,184.70x = 14,055.09 × 7,205.70
  4. Step 4: Simplify right side
    10,184.70x = 101,276,762.01
  5. Step 5: Solve for x
    x = 101,276,762.01/10,184.70
  6. Step 6: Final answer
    x = 9,944.01

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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.