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Finding the Fourth Proportional to 11,505.95, 17,259.08 and 7,582.32

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Solution

The fourth proportional to 11,505.95, 17,259.08 and 7,582.32 is: 11,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.95 : 17,259.08 = 7,582.32 : x
  2. Step 2: Convert to fraction form
    11,505.95/17,259.08 = 7,582.32/x
  3. Step 3: Cross multiply
    11,505.95x = 17,259.08 × 7,582.32
  4. Step 4: Simplify right side
    11,505.95x = 130,863,867.47
  5. Step 5: Solve for x
    x = 130,863,867.47/11,505.95
  6. Step 6: Final answer
    x = 11,373.58

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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.