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Finding the Fourth Proportional to 9,700.75, 14,552.88 and 6,416.56

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Solution

The fourth proportional to 9,700.75, 14,552.88 and 6,416.56 is: 9,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.75 : 14,552.88 = 6,416.56 : x
  2. Step 2: Convert to fraction form
    9,700.75/14,552.88 = 6,416.56/x
  3. Step 3: Cross multiply
    9,700.75x = 14,552.88 × 6,416.56
  4. Step 4: Simplify right side
    9,700.75x = 93,379,427.69
  5. Step 5: Solve for x
    x = 93,379,427.69/9,700.75
  6. Step 6: Final answer
    x = 9,626.00

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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.