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Finding the Fourth Proportional to 14,547.70, 21,830.55 and 5,781.70

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Solution

The fourth proportional to 14,547.70, 21,830.55 and 5,781.70 is: 8,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.70 : 21,830.55 = 5,781.70 : x
  2. Step 2: Convert to fraction form
    14,547.70/21,830.55 = 5,781.70/x
  3. Step 3: Cross multiply
    14,547.70x = 21,830.55 × 5,781.70
  4. Step 4: Simplify right side
    14,547.70x = 126,217,690.94
  5. Step 5: Solve for x
    x = 126,217,690.94/14,547.70
  6. Step 6: Final answer
    x = 8,676.13

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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.