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Finding the Fourth Proportional to 11,623.44, 16,041.72 and 6,907.74

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Solution

The fourth proportional to 11,623.44, 16,041.72 and 6,907.74 is: 9,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.44 : 16,041.72 = 6,907.74 : x
  2. Step 2: Convert to fraction form
    11,623.44/16,041.72 = 6,907.74/x
  3. Step 3: Cross multiply
    11,623.44x = 16,041.72 × 6,907.74
  4. Step 4: Simplify right side
    11,623.44x = 110,812,030.91
  5. Step 5: Solve for x
    x = 110,812,030.91/11,623.44
  6. Step 6: Final answer
    x = 9,533.50

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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.