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Finding the Fourth Proportional to 10,032.76, 13,813.53 and 8,837

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Solution

The fourth proportional to 10,032.76, 13,813.53 and 8,837 is: 12,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.76 : 13,813.53 = 8,837 : x
  2. Step 2: Convert to fraction form
    10,032.76/13,813.53 = 8,837/x
  3. Step 3: Cross multiply
    10,032.76x = 13,813.53 × 8,837
  4. Step 4: Simplify right side
    10,032.76x = 122,070,164.61
  5. Step 5: Solve for x
    x = 122,070,164.61/10,032.76
  6. Step 6: Final answer
    x = 12,167.16

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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.