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Finding the Fourth Proportional to 11,710.56, 17,539.92 and 6,507.12

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Solution

The fourth proportional to 11,710.56, 17,539.92 and 6,507.12 is: 9,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.56 : 17,539.92 = 6,507.12 : x
  2. Step 2: Convert to fraction form
    11,710.56/17,539.92 = 6,507.12/x
  3. Step 3: Cross multiply
    11,710.56x = 17,539.92 × 6,507.12
  4. Step 4: Simplify right side
    11,710.56x = 114,134,364.23
  5. Step 5: Solve for x
    x = 114,134,364.23/11,710.56
  6. Step 6: Final answer
    x = 9,746.28

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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.