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Finding the Fourth Proportional to 10,653.45, 15,898.07 and 9,357.65

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Solution

The fourth proportional to 10,653.45, 15,898.07 and 9,357.65 is: 13,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.45 : 15,898.07 = 9,357.65 : x
  2. Step 2: Convert to fraction form
    10,653.45/15,898.07 = 9,357.65/x
  3. Step 3: Cross multiply
    10,653.45x = 15,898.07 × 9,357.65
  4. Step 4: Simplify right side
    10,653.45x = 148,768,622.97
  5. Step 5: Solve for x
    x = 148,768,622.97/10,653.45
  6. Step 6: Final answer
    x = 13,964.36

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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.