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Finding the Fourth Proportional to 9,597.74, 14,398.63 and 3,024.39

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Solution

The fourth proportional to 9,597.74, 14,398.63 and 3,024.39 is: 4,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.74 : 14,398.63 = 3,024.39 : x
  2. Step 2: Convert to fraction form
    9,597.74/14,398.63 = 3,024.39/x
  3. Step 3: Cross multiply
    9,597.74x = 14,398.63 × 3,024.39
  4. Step 4: Simplify right side
    9,597.74x = 43,547,008.15
  5. Step 5: Solve for x
    x = 43,547,008.15/9,597.74
  6. Step 6: Final answer
    x = 4,537.22

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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.