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Finding the Fourth Proportional to 14,971.68, 20,656.35 and 9,005.22

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Solution

The fourth proportional to 14,971.68, 20,656.35 and 9,005.22 is: 12,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.68 : 20,656.35 = 9,005.22 : x
  2. Step 2: Convert to fraction form
    14,971.68/20,656.35 = 9,005.22/x
  3. Step 3: Cross multiply
    14,971.68x = 20,656.35 × 9,005.22
  4. Step 4: Simplify right side
    14,971.68x = 186,014,976.15
  5. Step 5: Solve for x
    x = 186,014,976.15/14,971.68
  6. Step 6: Final answer
    x = 12,424.46

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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.