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Finding the Fourth Proportional to 9,783.75, 14,666.97 and 4,783.50

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Solution

The fourth proportional to 9,783.75, 14,666.97 and 4,783.50 is: 7,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.75 : 14,666.97 = 4,783.50 : x
  2. Step 2: Convert to fraction form
    9,783.75/14,666.97 = 4,783.50/x
  3. Step 3: Cross multiply
    9,783.75x = 14,666.97 × 4,783.50
  4. Step 4: Simplify right side
    9,783.75x = 70,159,451.00
  5. Step 5: Solve for x
    x = 70,159,451.00/9,783.75
  6. Step 6: Final answer
    x = 7,171.02

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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.