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Finding the Fourth Proportional to 9,597.66, 14,391.47 and 4,328.13

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Solution

The fourth proportional to 9,597.66, 14,391.47 and 4,328.13 is: 6,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.66 : 14,391.47 = 4,328.13 : x
  2. Step 2: Convert to fraction form
    9,597.66/14,391.47 = 4,328.13/x
  3. Step 3: Cross multiply
    9,597.66x = 14,391.47 × 4,328.13
  4. Step 4: Simplify right side
    9,597.66x = 62,288,217.84
  5. Step 5: Solve for x
    x = 62,288,217.84/9,597.66
  6. Step 6: Final answer
    x = 6,489.94

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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.