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Finding the Fourth Proportional to 7,509.02, 11,264.19 and 1,962.32

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Solution

The fourth proportional to 7,509.02, 11,264.19 and 1,962.32 is: 2,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.02 : 11,264.19 = 1,962.32 : x
  2. Step 2: Convert to fraction form
    7,509.02/11,264.19 = 1,962.32/x
  3. Step 3: Cross multiply
    7,509.02x = 11,264.19 × 1,962.32
  4. Step 4: Simplify right side
    7,509.02x = 22,103,945.32
  5. Step 5: Solve for x
    x = 22,103,945.32/7,509.02
  6. Step 6: Final answer
    x = 2,943.65

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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.