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Finding the Fourth Proportional to 22,304.58, 33,458.13 and 9,830.46

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Solution

The fourth proportional to 22,304.58, 33,458.13 and 9,830.46 is: 14,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.58 : 33,458.13 = 9,830.46 : x
  2. Step 2: Convert to fraction form
    22,304.58/33,458.13 = 9,830.46/x
  3. Step 3: Cross multiply
    22,304.58x = 33,458.13 × 9,830.46
  4. Step 4: Simplify right side
    22,304.58x = 328,908,808.64
  5. Step 5: Solve for x
    x = 328,908,808.64/22,304.58
  6. Step 6: Final answer
    x = 14,746.25

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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.