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Finding the Fourth Proportional to 14,922.76, 20,594 and 8,952.24

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Solution

The fourth proportional to 14,922.76, 20,594 and 8,952.24 is: 12,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.76 : 20,594 = 8,952.24 : x
  2. Step 2: Convert to fraction form
    14,922.76/20,594 = 8,952.24/x
  3. Step 3: Cross multiply
    14,922.76x = 20,594 × 8,952.24
  4. Step 4: Simplify right side
    14,922.76x = 184,362,430.56
  5. Step 5: Solve for x
    x = 184,362,430.56/14,922.76
  6. Step 6: Final answer
    x = 12,354.45

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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.