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Finding the Fourth Proportional to 11,782.59, 16,259.63 and 7,004.67

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Solution

The fourth proportional to 11,782.59, 16,259.63 and 7,004.67 is: 9,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.59 : 16,259.63 = 7,004.67 : x
  2. Step 2: Convert to fraction form
    11,782.59/16,259.63 = 7,004.67/x
  3. Step 3: Cross multiply
    11,782.59x = 16,259.63 × 7,004.67
  4. Step 4: Simplify right side
    11,782.59x = 113,893,342.47
  5. Step 5: Solve for x
    x = 113,893,342.47/11,782.59
  6. Step 6: Final answer
    x = 9,666.24

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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.