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Finding the Fourth Proportional to 30,590.62, 45,884.28 and 9,812.50

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Solution

The fourth proportional to 30,590.62, 45,884.28 and 9,812.50 is: 14,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.62 : 45,884.28 = 9,812.50 : x
  2. Step 2: Convert to fraction form
    30,590.62/45,884.28 = 9,812.50/x
  3. Step 3: Cross multiply
    30,590.62x = 45,884.28 × 9,812.50
  4. Step 4: Simplify right side
    30,590.62x = 450,239,497.50
  5. Step 5: Solve for x
    x = 450,239,497.50/30,590.62
  6. Step 6: Final answer
    x = 14,718.22

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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.