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Finding the Fourth Proportional to 4,972.16, 7,457.42 and 1,509.41

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Solution

The fourth proportional to 4,972.16, 7,457.42 and 1,509.41 is: 2,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.16 : 7,457.42 = 1,509.41 : x
  2. Step 2: Convert to fraction form
    4,972.16/7,457.42 = 1,509.41/x
  3. Step 3: Cross multiply
    4,972.16x = 7,457.42 × 1,509.41
  4. Step 4: Simplify right side
    4,972.16x = 11,256,270.81
  5. Step 5: Solve for x
    x = 11,256,270.81/4,972.16
  6. Step 6: Final answer
    x = 2,263.86

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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.