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Finding the Fourth Proportional to 9,914.57, 14,873.07 and 4,646.87

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Solution

The fourth proportional to 9,914.57, 14,873.07 and 4,646.87 is: 6,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.57 : 14,873.07 = 4,646.87 : x
  2. Step 2: Convert to fraction form
    9,914.57/14,873.07 = 4,646.87/x
  3. Step 3: Cross multiply
    9,914.57x = 14,873.07 × 4,646.87
  4. Step 4: Simplify right side
    9,914.57x = 69,113,148.43
  5. Step 5: Solve for x
    x = 69,113,148.43/9,914.57
  6. Step 6: Final answer
    x = 6,970.87

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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.