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Finding the Fourth Proportional to 14,125.80, 19,492.80 and 7,837.76

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Solution

The fourth proportional to 14,125.80, 19,492.80 and 7,837.76 is: 10,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.80 : 19,492.80 = 7,837.76 : x
  2. Step 2: Convert to fraction form
    14,125.80/19,492.80 = 7,837.76/x
  3. Step 3: Cross multiply
    14,125.80x = 19,492.80 × 7,837.76
  4. Step 4: Simplify right side
    14,125.80x = 152,779,888.13
  5. Step 5: Solve for x
    x = 152,779,888.13/14,125.80
  6. Step 6: Final answer
    x = 10,815.66

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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.