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Finding the Fourth Proportional to 5,007.60, 7,509.12 and 1,544.16

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Solution

The fourth proportional to 5,007.60, 7,509.12 and 1,544.16 is: 2,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.60 : 7,509.12 = 1,544.16 : x
  2. Step 2: Convert to fraction form
    5,007.60/7,509.12 = 1,544.16/x
  3. Step 3: Cross multiply
    5,007.60x = 7,509.12 × 1,544.16
  4. Step 4: Simplify right side
    5,007.60x = 11,595,282.74
  5. Step 5: Solve for x
    x = 11,595,282.74/5,007.60
  6. Step 6: Final answer
    x = 2,315.54

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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.