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Finding the Fourth Proportional to 10,392.48, 14,347.54 and 6,865.96

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Solution

The fourth proportional to 10,392.48, 14,347.54 and 6,865.96 is: 9,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.48 : 14,347.54 = 6,865.96 : x
  2. Step 2: Convert to fraction form
    10,392.48/14,347.54 = 6,865.96/x
  3. Step 3: Cross multiply
    10,392.48x = 14,347.54 × 6,865.96
  4. Step 4: Simplify right side
    10,392.48x = 98,509,635.74
  5. Step 5: Solve for x
    x = 98,509,635.74/10,392.48
  6. Step 6: Final answer
    x = 9,478.93

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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.