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Finding the Fourth Proportional to 8,924.95, 12,316.53 and 4,946.14

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Solution

The fourth proportional to 8,924.95, 12,316.53 and 4,946.14 is: 6,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.95 : 12,316.53 = 4,946.14 : x
  2. Step 2: Convert to fraction form
    8,924.95/12,316.53 = 4,946.14/x
  3. Step 3: Cross multiply
    8,924.95x = 12,316.53 × 4,946.14
  4. Step 4: Simplify right side
    8,924.95x = 60,919,281.69
  5. Step 5: Solve for x
    x = 60,919,281.69/8,924.95
  6. Step 6: Final answer
    x = 6,825.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.