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Finding the Fourth Proportional to 13,897.93, 19,181.36 and 7,931.53

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Solution

The fourth proportional to 13,897.93, 19,181.36 and 7,931.53 is: 10,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.93 : 19,181.36 = 7,931.53 : x
  2. Step 2: Convert to fraction form
    13,897.93/19,181.36 = 7,931.53/x
  3. Step 3: Cross multiply
    13,897.93x = 19,181.36 × 7,931.53
  4. Step 4: Simplify right side
    13,897.93x = 152,137,492.62
  5. Step 5: Solve for x
    x = 152,137,492.62/13,897.93
  6. Step 6: Final answer
    x = 10,946.77

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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.