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Finding the Fourth Proportional to 9,597.69, 14,398.47 and 4,051.04

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Solution

The fourth proportional to 9,597.69, 14,398.47 and 4,051.04 is: 6,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.69 : 14,398.47 = 4,051.04 : x
  2. Step 2: Convert to fraction form
    9,597.69/14,398.47 = 4,051.04/x
  3. Step 3: Cross multiply
    9,597.69x = 14,398.47 × 4,051.04
  4. Step 4: Simplify right side
    9,597.69x = 58,328,777.91
  5. Step 5: Solve for x
    x = 58,328,777.91/9,597.69
  6. Step 6: Final answer
    x = 6,077.38

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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.