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Finding the Fourth Proportional to 9,698.50, 14,547.75 and 3,542.50

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Solution

The fourth proportional to 9,698.50, 14,547.75 and 3,542.50 is: 5,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.50 : 14,547.75 = 3,542.50 : x
  2. Step 2: Convert to fraction form
    9,698.50/14,547.75 = 3,542.50/x
  3. Step 3: Cross multiply
    9,698.50x = 14,547.75 × 3,542.50
  4. Step 4: Simplify right side
    9,698.50x = 51,535,404.38
  5. Step 5: Solve for x
    x = 51,535,404.38/9,698.50
  6. Step 6: Final answer
    x = 5,313.75

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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.