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Finding the Fourth Proportional to 10,075.94, 13,900.92 and 7,429.64

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Solution

The fourth proportional to 10,075.94, 13,900.92 and 7,429.64 is: 10,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.94 : 13,900.92 = 7,429.64 : x
  2. Step 2: Convert to fraction form
    10,075.94/13,900.92 = 7,429.64/x
  3. Step 3: Cross multiply
    10,075.94x = 13,900.92 × 7,429.64
  4. Step 4: Simplify right side
    10,075.94x = 103,278,831.27
  5. Step 5: Solve for x
    x = 103,278,831.27/10,075.94
  6. Step 6: Final answer
    x = 10,250.04

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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.