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Finding the Fourth Proportional to 16,313.76, 24,473.88 and 9,297

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Solution

The fourth proportional to 16,313.76, 24,473.88 and 9,297 is: 13,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.76 : 24,473.88 = 9,297 : x
  2. Step 2: Convert to fraction form
    16,313.76/24,473.88 = 9,297/x
  3. Step 3: Cross multiply
    16,313.76x = 24,473.88 × 9,297
  4. Step 4: Simplify right side
    16,313.76x = 227,533,662.36
  5. Step 5: Solve for x
    x = 227,533,662.36/16,313.76
  6. Step 6: Final answer
    x = 13,947.35

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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.