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Finding the Fourth Proportional to 13,903.76, 19,193.64 and 8,927.12

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Solution

The fourth proportional to 13,903.76, 19,193.64 and 8,927.12 is: 12,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.76 : 19,193.64 = 8,927.12 : x
  2. Step 2: Convert to fraction form
    13,903.76/19,193.64 = 8,927.12/x
  3. Step 3: Cross multiply
    13,903.76x = 19,193.64 × 8,927.12
  4. Step 4: Simplify right side
    13,903.76x = 171,343,927.52
  5. Step 5: Solve for x
    x = 171,343,927.52/13,903.76
  6. Step 6: Final answer
    x = 12,323.57

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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.