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Finding the Fourth Proportional to 9,597.81, 14,398.65 and 4,051.14

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Solution

The fourth proportional to 9,597.81, 14,398.65 and 4,051.14 is: 6,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.81 : 14,398.65 = 4,051.14 : x
  2. Step 2: Convert to fraction form
    9,597.81/14,398.65 = 4,051.14/x
  3. Step 3: Cross multiply
    9,597.81x = 14,398.65 × 4,051.14
  4. Step 4: Simplify right side
    9,597.81x = 58,330,946.96
  5. Step 5: Solve for x
    x = 58,330,946.96/9,597.81
  6. Step 6: Final answer
    x = 6,077.53

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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.