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Finding the Fourth Proportional to 23,547.84, 35,326.62 and 7,966.68

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Solution

The fourth proportional to 23,547.84, 35,326.62 and 7,966.68 is: 11,951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.84 : 35,326.62 = 7,966.68 : x
  2. Step 2: Convert to fraction form
    23,547.84/35,326.62 = 7,966.68/x
  3. Step 3: Cross multiply
    23,547.84x = 35,326.62 × 7,966.68
  4. Step 4: Simplify right side
    23,547.84x = 281,435,877.02
  5. Step 5: Solve for x
    x = 281,435,877.02/23,547.84
  6. Step 6: Final answer
    x = 11,951.66

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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.