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Finding the Fourth Proportional to 6,504.54, 9,756.82 and 1,574.16

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Solution

The fourth proportional to 6,504.54, 9,756.82 and 1,574.16 is: 2,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.54 : 9,756.82 = 1,574.16 : x
  2. Step 2: Convert to fraction form
    6,504.54/9,756.82 = 1,574.16/x
  3. Step 3: Cross multiply
    6,504.54x = 9,756.82 × 1,574.16
  4. Step 4: Simplify right side
    6,504.54x = 15,358,795.77
  5. Step 5: Solve for x
    x = 15,358,795.77/6,504.54
  6. Step 6: Final answer
    x = 2,361.24

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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.