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Finding the Fourth Proportional to 10,095.63, 13,931.74 and 5,619.11

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Solution

The fourth proportional to 10,095.63, 13,931.74 and 5,619.11 is: 7,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.63 : 13,931.74 = 5,619.11 : x
  2. Step 2: Convert to fraction form
    10,095.63/13,931.74 = 5,619.11/x
  3. Step 3: Cross multiply
    10,095.63x = 13,931.74 × 5,619.11
  4. Step 4: Simplify right side
    10,095.63x = 78,283,895.84
  5. Step 5: Solve for x
    x = 78,283,895.84/10,095.63
  6. Step 6: Final answer
    x = 7,754.24

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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.