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Finding the Fourth Proportional to 10,482.48, 15,709.83 and 7,696.13

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Solution

The fourth proportional to 10,482.48, 15,709.83 and 7,696.13 is: 11,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.48 : 15,709.83 = 7,696.13 : x
  2. Step 2: Convert to fraction form
    10,482.48/15,709.83 = 7,696.13/x
  3. Step 3: Cross multiply
    10,482.48x = 15,709.83 × 7,696.13
  4. Step 4: Simplify right side
    10,482.48x = 120,904,893.96
  5. Step 5: Solve for x
    x = 120,904,893.96/10,482.48
  6. Step 6: Final answer
    x = 11,534.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.