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Finding the Fourth Proportional to 14,970.56, 20,666.16 and 9,664.48

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Solution

The fourth proportional to 14,970.56, 20,666.16 and 9,664.48 is: 13,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.56 : 20,666.16 = 9,664.48 : x
  2. Step 2: Convert to fraction form
    14,970.56/20,666.16 = 9,664.48/x
  3. Step 3: Cross multiply
    14,970.56x = 20,666.16 × 9,664.48
  4. Step 4: Simplify right side
    14,970.56x = 199,727,690.00
  5. Step 5: Solve for x
    x = 199,727,690.00/14,970.56
  6. Step 6: Final answer
    x = 13,341.36

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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.