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Finding the Fourth Proportional to 10,695.80, 16,043.70 and 9,602.30

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Solution

The fourth proportional to 10,695.80, 16,043.70 and 9,602.30 is: 14,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.80 : 16,043.70 = 9,602.30 : x
  2. Step 2: Convert to fraction form
    10,695.80/16,043.70 = 9,602.30/x
  3. Step 3: Cross multiply
    10,695.80x = 16,043.70 × 9,602.30
  4. Step 4: Simplify right side
    10,695.80x = 154,056,420.51
  5. Step 5: Solve for x
    x = 154,056,420.51/10,695.80
  6. Step 6: Final answer
    x = 14,403.45

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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.