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Finding the Fourth Proportional to 14,030.85, 19,362.69 and 7,657.49

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Solution

The fourth proportional to 14,030.85, 19,362.69 and 7,657.49 is: 10,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.85 : 19,362.69 = 7,657.49 : x
  2. Step 2: Convert to fraction form
    14,030.85/19,362.69 = 7,657.49/x
  3. Step 3: Cross multiply
    14,030.85x = 19,362.69 × 7,657.49
  4. Step 4: Simplify right side
    14,030.85x = 148,269,605.05
  5. Step 5: Solve for x
    x = 148,269,605.05/14,030.85
  6. Step 6: Final answer
    x = 10,567.40

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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.