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Finding the Fourth Proportional to 14,984.70, 22,477.05 and 9,152.70

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Solution

The fourth proportional to 14,984.70, 22,477.05 and 9,152.70 is: 13,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.70 : 22,477.05 = 9,152.70 : x
  2. Step 2: Convert to fraction form
    14,984.70/22,477.05 = 9,152.70/x
  3. Step 3: Cross multiply
    14,984.70x = 22,477.05 × 9,152.70
  4. Step 4: Simplify right side
    14,984.70x = 205,725,695.54
  5. Step 5: Solve for x
    x = 205,725,695.54/14,984.70
  6. Step 6: Final answer
    x = 13,729.05

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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.