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Finding the Fourth Proportional to 10,347.80, 15,521.70 and 9,699.80

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Solution

The fourth proportional to 10,347.80, 15,521.70 and 9,699.80 is: 14,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.80 : 15,521.70 = 9,699.80 : x
  2. Step 2: Convert to fraction form
    10,347.80/15,521.70 = 9,699.80/x
  3. Step 3: Cross multiply
    10,347.80x = 15,521.70 × 9,699.80
  4. Step 4: Simplify right side
    10,347.80x = 150,557,385.66
  5. Step 5: Solve for x
    x = 150,557,385.66/10,347.80
  6. Step 6: Final answer
    x = 14,549.70

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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.