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Finding the Fourth Proportional to 7,509.63, 11,264.60 and 2,315.50

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Solution

The fourth proportional to 7,509.63, 11,264.60 and 2,315.50 is: 3,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.63 : 11,264.60 = 2,315.50 : x
  2. Step 2: Convert to fraction form
    7,509.63/11,264.60 = 2,315.50/x
  3. Step 3: Cross multiply
    7,509.63x = 11,264.60 × 2,315.50
  4. Step 4: Simplify right side
    7,509.63x = 26,083,181.30
  5. Step 5: Solve for x
    x = 26,083,181.30/7,509.63
  6. Step 6: Final answer
    x = 3,473.30

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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.