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Finding the Fourth Proportional to 5,657.95, 8,486.93 and 1,762.35

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Solution

The fourth proportional to 5,657.95, 8,486.93 and 1,762.35 is: 2,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.95 : 8,486.93 = 1,762.35 : x
  2. Step 2: Convert to fraction form
    5,657.95/8,486.93 = 1,762.35/x
  3. Step 3: Cross multiply
    5,657.95x = 8,486.93 × 1,762.35
  4. Step 4: Simplify right side
    5,657.95x = 14,956,941.09
  5. Step 5: Solve for x
    x = 14,956,941.09/5,657.95
  6. Step 6: Final answer
    x = 2,643.53

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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.