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Finding the Fourth Proportional to 14,607, 20,157.66 and 8,323.02

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Solution

The fourth proportional to 14,607, 20,157.66 and 8,323.02 is: 11,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607 : 20,157.66 = 8,323.02 : x
  2. Step 2: Convert to fraction form
    14,607/20,157.66 = 8,323.02/x
  3. Step 3: Cross multiply
    14,607x = 20,157.66 × 8,323.02
  4. Step 4: Simplify right side
    14,607x = 167,772,607.33
  5. Step 5: Solve for x
    x = 167,772,607.33/14,607
  6. Step 6: Final answer
    x = 11,485.77

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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.