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Finding the Fourth Proportional to 5,859.72, 8,788.14 and 1,698.84

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Solution

The fourth proportional to 5,859.72, 8,788.14 and 1,698.84 is: 2,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.72 : 8,788.14 = 1,698.84 : x
  2. Step 2: Convert to fraction form
    5,859.72/8,788.14 = 1,698.84/x
  3. Step 3: Cross multiply
    5,859.72x = 8,788.14 × 1,698.84
  4. Step 4: Simplify right side
    5,859.72x = 14,929,643.76
  5. Step 5: Solve for x
    x = 14,929,643.76/5,859.72
  6. Step 6: Final answer
    x = 2,547.84

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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.