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Finding the Fourth Proportional to 10,398.58, 14,353.95 and 7,058.68

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Solution

The fourth proportional to 10,398.58, 14,353.95 and 7,058.68 is: 9,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.58 : 14,353.95 = 7,058.68 : x
  2. Step 2: Convert to fraction form
    10,398.58/14,353.95 = 7,058.68/x
  3. Step 3: Cross multiply
    10,398.58x = 14,353.95 × 7,058.68
  4. Step 4: Simplify right side
    10,398.58x = 101,319,939.79
  5. Step 5: Solve for x
    x = 101,319,939.79/10,398.58
  6. Step 6: Final answer
    x = 9,743.63

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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.