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Finding the Fourth Proportional to 9,756.12, 14,609.46 and 7,000.50

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Solution

The fourth proportional to 9,756.12, 14,609.46 and 7,000.50 is: 10,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.12 : 14,609.46 = 7,000.50 : x
  2. Step 2: Convert to fraction form
    9,756.12/14,609.46 = 7,000.50/x
  3. Step 3: Cross multiply
    9,756.12x = 14,609.46 × 7,000.50
  4. Step 4: Simplify right side
    9,756.12x = 102,273,524.73
  5. Step 5: Solve for x
    x = 102,273,524.73/9,756.12
  6. Step 6: Final answer
    x = 10,483.01

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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.