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Finding the Fourth Proportional to 10,686.69, 14,751.74 and 9,565.65

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Solution

The fourth proportional to 10,686.69, 14,751.74 and 9,565.65 is: 13,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.69 : 14,751.74 = 9,565.65 : x
  2. Step 2: Convert to fraction form
    10,686.69/14,751.74 = 9,565.65/x
  3. Step 3: Cross multiply
    10,686.69x = 14,751.74 × 9,565.65
  4. Step 4: Simplify right side
    10,686.69x = 141,110,005.65
  5. Step 5: Solve for x
    x = 141,110,005.65/10,686.69
  6. Step 6: Final answer
    x = 13,204.28

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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.