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Finding the Fourth Proportional to 6,526.79, 9,007.04 and 3,542.65

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Solution

The fourth proportional to 6,526.79, 9,007.04 and 3,542.65 is: 4,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.79 : 9,007.04 = 3,542.65 : x
  2. Step 2: Convert to fraction form
    6,526.79/9,007.04 = 3,542.65/x
  3. Step 3: Cross multiply
    6,526.79x = 9,007.04 × 3,542.65
  4. Step 4: Simplify right side
    6,526.79x = 31,908,772.54
  5. Step 5: Solve for x
    x = 31,908,772.54/6,526.79
  6. Step 6: Final answer
    x = 4,888.89

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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.