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Finding the Fourth Proportional to 7,784.03, 11,678.96 and 4,666.25

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Solution

The fourth proportional to 7,784.03, 11,678.96 and 4,666.25 is: 7,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.03 : 11,678.96 = 4,666.25 : x
  2. Step 2: Convert to fraction form
    7,784.03/11,678.96 = 4,666.25/x
  3. Step 3: Cross multiply
    7,784.03x = 11,678.96 × 4,666.25
  4. Step 4: Simplify right side
    7,784.03x = 54,496,970.46
  5. Step 5: Solve for x
    x = 54,496,970.46/7,784.03
  6. Step 6: Final answer
    x = 7,001.13

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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.