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Finding the Fourth Proportional to 9,774.95, 13,486.25 and 5,525.60

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Solution

The fourth proportional to 9,774.95, 13,486.25 and 5,525.60 is: 7,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.95 : 13,486.25 = 5,525.60 : x
  2. Step 2: Convert to fraction form
    9,774.95/13,486.25 = 5,525.60/x
  3. Step 3: Cross multiply
    9,774.95x = 13,486.25 × 5,525.60
  4. Step 4: Simplify right side
    9,774.95x = 74,519,569.38
  5. Step 5: Solve for x
    x = 74,519,569.38/9,774.95
  6. Step 6: Final answer
    x = 7,623.53

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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.