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Finding the Fourth Proportional to 9,597.42, 14,360.22 and 6,830.46

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Solution

The fourth proportional to 9,597.42, 14,360.22 and 6,830.46 is: 10,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.42 : 14,360.22 = 6,830.46 : x
  2. Step 2: Convert to fraction form
    9,597.42/14,360.22 = 6,830.46/x
  3. Step 3: Cross multiply
    9,597.42x = 14,360.22 × 6,830.46
  4. Step 4: Simplify right side
    9,597.42x = 98,086,908.30
  5. Step 5: Solve for x
    x = 98,086,908.30/9,597.42
  6. Step 6: Final answer
    x = 10,220.13

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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.