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Finding the Fourth Proportional to 15,774.90, 23,674.08 and 7,457.47

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Solution

The fourth proportional to 15,774.90, 23,674.08 and 7,457.47 is: 11,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.90 : 23,674.08 = 7,457.47 : x
  2. Step 2: Convert to fraction form
    15,774.90/23,674.08 = 7,457.47/x
  3. Step 3: Cross multiply
    15,774.90x = 23,674.08 × 7,457.47
  4. Step 4: Simplify right side
    15,774.90x = 176,548,741.38
  5. Step 5: Solve for x
    x = 176,548,741.38/15,774.90
  6. Step 6: Final answer
    x = 11,191.75

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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.