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Finding the Fourth Proportional to 6,504.42, 9,756.63 and 1,574.06

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Solution

The fourth proportional to 6,504.42, 9,756.63 and 1,574.06 is: 2,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.42 : 9,756.63 = 1,574.06 : x
  2. Step 2: Convert to fraction form
    6,504.42/9,756.63 = 1,574.06/x
  3. Step 3: Cross multiply
    6,504.42x = 9,756.63 × 1,574.06
  4. Step 4: Simplify right side
    6,504.42x = 15,357,507.35
  5. Step 5: Solve for x
    x = 15,357,507.35/6,504.42
  6. Step 6: Final answer
    x = 2,361.09

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Similar ratio
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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.