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Finding the Fourth Proportional to 14,584.64, 20,130.40 and 8,300.64

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Solution

The fourth proportional to 14,584.64, 20,130.40 and 8,300.64 is: 11,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.64 : 20,130.40 = 8,300.64 : x
  2. Step 2: Convert to fraction form
    14,584.64/20,130.40 = 8,300.64/x
  3. Step 3: Cross multiply
    14,584.64x = 20,130.40 × 8,300.64
  4. Step 4: Simplify right side
    14,584.64x = 167,095,203.46
  5. Step 5: Solve for x
    x = 167,095,203.46/14,584.64
  6. Step 6: Final answer
    x = 11,456.93

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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.