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Finding the Fourth Proportional to 7,859.68, 10,833.36 and 5,340.64

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Solution

The fourth proportional to 7,859.68, 10,833.36 and 5,340.64 is: 7,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.68 : 10,833.36 = 5,340.64 : x
  2. Step 2: Convert to fraction form
    7,859.68/10,833.36 = 5,340.64/x
  3. Step 3: Cross multiply
    7,859.68x = 10,833.36 × 5,340.64
  4. Step 4: Simplify right side
    7,859.68x = 57,857,075.75
  5. Step 5: Solve for x
    x = 57,857,075.75/7,859.68
  6. Step 6: Final answer
    x = 7,361.25

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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.