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Finding the Fourth Proportional to 9,829.80, 14,744.70 and 9,700.20

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Solution

The fourth proportional to 9,829.80, 14,744.70 and 9,700.20 is: 14,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.80 : 14,744.70 = 9,700.20 : x
  2. Step 2: Convert to fraction form
    9,829.80/14,744.70 = 9,700.20/x
  3. Step 3: Cross multiply
    9,829.80x = 14,744.70 × 9,700.20
  4. Step 4: Simplify right side
    9,829.80x = 143,026,538.94
  5. Step 5: Solve for x
    x = 143,026,538.94/9,829.80
  6. Step 6: Final answer
    x = 14,550.30

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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.