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Finding the Fourth Proportional to 14,698.58, 20,283.95 and 7,984.15

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Solution

The fourth proportional to 14,698.58, 20,283.95 and 7,984.15 is: 11,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.58 : 20,283.95 = 7,984.15 : x
  2. Step 2: Convert to fraction form
    14,698.58/20,283.95 = 7,984.15/x
  3. Step 3: Cross multiply
    14,698.58x = 20,283.95 × 7,984.15
  4. Step 4: Simplify right side
    14,698.58x = 161,950,068.64
  5. Step 5: Solve for x
    x = 161,950,068.64/14,698.58
  6. Step 6: Final answer
    x = 11,018.08

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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.