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Finding the Fourth Proportional to 10,383, 15,574.49 and 9,347.34

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Solution

The fourth proportional to 10,383, 15,574.49 and 9,347.34 is: 14,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383 : 15,574.49 = 9,347.34 : x
  2. Step 2: Convert to fraction form
    10,383/15,574.49 = 9,347.34/x
  3. Step 3: Cross multiply
    10,383x = 15,574.49 × 9,347.34
  4. Step 4: Simplify right side
    10,383x = 145,580,053.36
  5. Step 5: Solve for x
    x = 145,580,053.36/10,383
  6. Step 6: Final answer
    x = 14,021.00

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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.