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Finding the Fourth Proportional to 30,494.40, 45,740.40 and 9,717.12

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Solution

The fourth proportional to 30,494.40, 45,740.40 and 9,717.12 is: 14,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.40 : 45,740.40 = 9,717.12 : x
  2. Step 2: Convert to fraction form
    30,494.40/45,740.40 = 9,717.12/x
  3. Step 3: Cross multiply
    30,494.40x = 45,740.40 × 9,717.12
  4. Step 4: Simplify right side
    30,494.40x = 444,464,955.65
  5. Step 5: Solve for x
    x = 444,464,955.65/30,494.40
  6. Step 6: Final answer
    x = 14,575.30

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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.