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Finding the Fourth Proportional to 4,692.94, 7,038.30 and 1,573.06

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Solution

The fourth proportional to 4,692.94, 7,038.30 and 1,573.06 is: 2,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.94 : 7,038.30 = 1,573.06 : x
  2. Step 2: Convert to fraction form
    4,692.94/7,038.30 = 1,573.06/x
  3. Step 3: Cross multiply
    4,692.94x = 7,038.30 × 1,573.06
  4. Step 4: Simplify right side
    4,692.94x = 11,071,668.20
  5. Step 5: Solve for x
    x = 11,071,668.20/4,692.94
  6. Step 6: Final answer
    x = 2,359.22

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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.