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Finding the Fourth Proportional to 17,788, 24,547.93 and 9,830.74

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Solution

The fourth proportional to 17,788, 24,547.93 and 9,830.74 is: 13,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788 : 24,547.93 = 9,830.74 : x
  2. Step 2: Convert to fraction form
    17,788/24,547.93 = 9,830.74/x
  3. Step 3: Cross multiply
    17,788x = 24,547.93 × 9,830.74
  4. Step 4: Simplify right side
    17,788x = 241,324,317.37
  5. Step 5: Solve for x
    x = 241,324,317.37/17,788
  6. Step 6: Final answer
    x = 13,566.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.