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Finding the Fourth Proportional to 7,055.90, 9,742.64 and 4,817.87

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Solution

The fourth proportional to 7,055.90, 9,742.64 and 4,817.87 is: 6,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.90 : 9,742.64 = 4,817.87 : x
  2. Step 2: Convert to fraction form
    7,055.90/9,742.64 = 4,817.87/x
  3. Step 3: Cross multiply
    7,055.90x = 9,742.64 × 4,817.87
  4. Step 4: Simplify right side
    7,055.90x = 46,938,772.98
  5. Step 5: Solve for x
    x = 46,938,772.98/7,055.90
  6. Step 6: Final answer
    x = 6,652.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.