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Finding the Fourth Proportional to 10,577.90, 14,590.90 and 6,805.98

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Solution

The fourth proportional to 10,577.90, 14,590.90 and 6,805.98 is: 9,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.90 : 14,590.90 = 6,805.98 : x
  2. Step 2: Convert to fraction form
    10,577.90/14,590.90 = 6,805.98/x
  3. Step 3: Cross multiply
    10,577.90x = 14,590.90 × 6,805.98
  4. Step 4: Simplify right side
    10,577.90x = 99,305,373.58
  5. Step 5: Solve for x
    x = 99,305,373.58/10,577.90
  6. Step 6: Final answer
    x = 9,388.00

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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.