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Finding the Fourth Proportional to 9,970.80, 14,956.20 and 9,322.80

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Solution

The fourth proportional to 9,970.80, 14,956.20 and 9,322.80 is: 13,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.80 : 14,956.20 = 9,322.80 : x
  2. Step 2: Convert to fraction form
    9,970.80/14,956.20 = 9,322.80/x
  3. Step 3: Cross multiply
    9,970.80x = 14,956.20 × 9,322.80
  4. Step 4: Simplify right side
    9,970.80x = 139,433,661.36
  5. Step 5: Solve for x
    x = 139,433,661.36/9,970.80
  6. Step 6: Final answer
    x = 13,984.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.