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Finding the Fourth Proportional to 9,597.64, 14,396.70 and 4,402.12

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Solution

The fourth proportional to 9,597.64, 14,396.70 and 4,402.12 is: 6,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.64 : 14,396.70 = 4,402.12 : x
  2. Step 2: Convert to fraction form
    9,597.64/14,396.70 = 4,402.12/x
  3. Step 3: Cross multiply
    9,597.64x = 14,396.70 × 4,402.12
  4. Step 4: Simplify right side
    9,597.64x = 63,376,001.00
  5. Step 5: Solve for x
    x = 63,376,001.00/9,597.64
  6. Step 6: Final answer
    x = 6,603.29

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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.