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Finding the Fourth Proportional to 4,752.90, 6,549.93 and 4,130.82

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Solution

The fourth proportional to 4,752.90, 6,549.93 and 4,130.82 is: 5,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.90 : 6,549.93 = 4,130.82 : x
  2. Step 2: Convert to fraction form
    4,752.90/6,549.93 = 4,130.82/x
  3. Step 3: Cross multiply
    4,752.90x = 6,549.93 × 4,130.82
  4. Step 4: Simplify right side
    4,752.90x = 27,056,581.84
  5. Step 5: Solve for x
    x = 27,056,581.84/4,752.90
  6. Step 6: Final answer
    x = 5,692.65

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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.