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Finding the Fourth Proportional to 7,698.57, 11,547.85 and 1,855.16

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Solution

The fourth proportional to 7,698.57, 11,547.85 and 1,855.16 is: 2,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.57 : 11,547.85 = 1,855.16 : x
  2. Step 2: Convert to fraction form
    7,698.57/11,547.85 = 1,855.16/x
  3. Step 3: Cross multiply
    7,698.57x = 11,547.85 × 1,855.16
  4. Step 4: Simplify right side
    7,698.57x = 21,423,109.41
  5. Step 5: Solve for x
    x = 21,423,109.41/7,698.57
  6. Step 6: Final answer
    x = 2,782.74

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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.