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Finding the Fourth Proportional to 9,497.61, 14,225 and 4,570.94

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Solution

The fourth proportional to 9,497.61, 14,225 and 4,570.94 is: 6,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.61 : 14,225 = 4,570.94 : x
  2. Step 2: Convert to fraction form
    9,497.61/14,225 = 4,570.94/x
  3. Step 3: Cross multiply
    9,497.61x = 14,225 × 4,570.94
  4. Step 4: Simplify right side
    9,497.61x = 65,021,550.38
  5. Step 5: Solve for x
    x = 65,021,550.38/9,497.61
  6. Step 6: Final answer
    x = 6,846.10

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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.