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Finding the Fourth Proportional to 9,770.65, 14,656.09 and 6,460.08

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Solution

The fourth proportional to 9,770.65, 14,656.09 and 6,460.08 is: 9,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.65 : 14,656.09 = 6,460.08 : x
  2. Step 2: Convert to fraction form
    9,770.65/14,656.09 = 6,460.08/x
  3. Step 3: Cross multiply
    9,770.65x = 14,656.09 × 6,460.08
  4. Step 4: Simplify right side
    9,770.65x = 94,679,496.11
  5. Step 5: Solve for x
    x = 94,679,496.11/9,770.65
  6. Step 6: Final answer
    x = 9,690.19

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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.