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Finding the Fourth Proportional to 10,374.54, 14,305.52 and 7,011.53

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Solution

The fourth proportional to 10,374.54, 14,305.52 and 7,011.53 is: 9,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.54 : 14,305.52 = 7,011.53 : x
  2. Step 2: Convert to fraction form
    10,374.54/14,305.52 = 7,011.53/x
  3. Step 3: Cross multiply
    10,374.54x = 14,305.52 × 7,011.53
  4. Step 4: Simplify right side
    10,374.54x = 100,303,476.06
  5. Step 5: Solve for x
    x = 100,303,476.06/10,374.54
  6. Step 6: Final answer
    x = 9,668.23

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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.