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Finding the Fourth Proportional to 7,074.64, 9,762.99 and 3,931.12

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Solution

The fourth proportional to 7,074.64, 9,762.99 and 3,931.12 is: 5,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.64 : 9,762.99 = 3,931.12 : x
  2. Step 2: Convert to fraction form
    7,074.64/9,762.99 = 3,931.12/x
  3. Step 3: Cross multiply
    7,074.64x = 9,762.99 × 3,931.12
  4. Step 4: Simplify right side
    7,074.64x = 38,379,485.25
  5. Step 5: Solve for x
    x = 38,379,485.25/7,074.64
  6. Step 6: Final answer
    x = 5,424.94

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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.