Home / 10,254-14,150.52-6,530.16

Finding the Fourth Proportional to 10,254, 14,150.52 and 6,530.16

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Solution

The fourth proportional to 10,254, 14,150.52 and 6,530.16 is: 9,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 14,150.52 = 6,530.16 : x
  2. Step 2: Convert to fraction form
    10,254/14,150.52 = 6,530.16/x
  3. Step 3: Cross multiply
    10,254x = 14,150.52 × 6,530.16
  4. Step 4: Simplify right side
    10,254x = 92,405,159.68
  5. Step 5: Solve for x
    x = 92,405,159.68/10,254
  6. Step 6: Final answer
    x = 9,011.62

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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.