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Finding the Fourth Proportional to 9,830.88, 14,722.06 and 7,326.08

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Solution

The fourth proportional to 9,830.88, 14,722.06 and 7,326.08 is: 10,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.88 : 14,722.06 = 7,326.08 : x
  2. Step 2: Convert to fraction form
    9,830.88/14,722.06 = 7,326.08/x
  3. Step 3: Cross multiply
    9,830.88x = 14,722.06 × 7,326.08
  4. Step 4: Simplify right side
    9,830.88x = 107,854,989.32
  5. Step 5: Solve for x
    x = 107,854,989.32/9,830.88
  6. Step 6: Final answer
    x = 10,971.04

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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.