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Finding the Fourth Proportional to 10,699.44, 15,964.86 and 9,530.16

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Solution

The fourth proportional to 10,699.44, 15,964.86 and 9,530.16 is: 14,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.44 : 15,964.86 = 9,530.16 : x
  2. Step 2: Convert to fraction form
    10,699.44/15,964.86 = 9,530.16/x
  3. Step 3: Cross multiply
    10,699.44x = 15,964.86 × 9,530.16
  4. Step 4: Simplify right side
    10,699.44x = 152,147,670.18
  5. Step 5: Solve for x
    x = 152,147,670.18/10,699.44
  6. Step 6: Final answer
    x = 14,220.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.