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Finding the Fourth Proportional to 7,004.66, 9,666.08 and 4,020.42

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Solution

The fourth proportional to 7,004.66, 9,666.08 and 4,020.42 is: 5,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.66 : 9,666.08 = 4,020.42 : x
  2. Step 2: Convert to fraction form
    7,004.66/9,666.08 = 4,020.42/x
  3. Step 3: Cross multiply
    7,004.66x = 9,666.08 × 4,020.42
  4. Step 4: Simplify right side
    7,004.66x = 38,861,681.25
  5. Step 5: Solve for x
    x = 38,861,681.25/7,004.66
  6. Step 6: Final answer
    x = 5,547.98

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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.