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Finding the Fourth Proportional to 7,509.88, 11,264.82 and 3,403

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Solution

The fourth proportional to 7,509.88, 11,264.82 and 3,403 is: 5,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.88 : 11,264.82 = 3,403 : x
  2. Step 2: Convert to fraction form
    7,509.88/11,264.82 = 3,403/x
  3. Step 3: Cross multiply
    7,509.88x = 11,264.82 × 3,403
  4. Step 4: Simplify right side
    7,509.88x = 38,334,182.46
  5. Step 5: Solve for x
    x = 38,334,182.46/7,509.88
  6. Step 6: Final answer
    x = 5,104.50

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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.