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Finding the Fourth Proportional to 12,875.68, 17,765.76 and 7,567.66

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Solution

The fourth proportional to 12,875.68, 17,765.76 and 7,567.66 is: 10,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.68 : 17,765.76 = 7,567.66 : x
  2. Step 2: Convert to fraction form
    12,875.68/17,765.76 = 7,567.66/x
  3. Step 3: Cross multiply
    12,875.68x = 17,765.76 × 7,567.66
  4. Step 4: Simplify right side
    12,875.68x = 134,445,231.32
  5. Step 5: Solve for x
    x = 134,445,231.32/12,875.68
  6. Step 6: Final answer
    x = 10,441.80

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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.