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Finding the Fourth Proportional to 9,487.72, 13,093.14 and 5,509

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Solution

The fourth proportional to 9,487.72, 13,093.14 and 5,509 is: 7,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.72 : 13,093.14 = 5,509 : x
  2. Step 2: Convert to fraction form
    9,487.72/13,093.14 = 5,509/x
  3. Step 3: Cross multiply
    9,487.72x = 13,093.14 × 5,509
  4. Step 4: Simplify right side
    9,487.72x = 72,130,108.26
  5. Step 5: Solve for x
    x = 72,130,108.26/9,487.72
  6. Step 6: Final answer
    x = 7,602.47

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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.