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Finding the Fourth Proportional to 4,703.60, 7,013.96 and 4,661.45

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Solution

The fourth proportional to 4,703.60, 7,013.96 and 4,661.45 is: 6,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.60 : 7,013.96 = 4,661.45 : x
  2. Step 2: Convert to fraction form
    4,703.60/7,013.96 = 4,661.45/x
  3. Step 3: Cross multiply
    4,703.60x = 7,013.96 × 4,661.45
  4. Step 4: Simplify right side
    4,703.60x = 32,695,209.25
  5. Step 5: Solve for x
    x = 32,695,209.25/4,703.60
  6. Step 6: Final answer
    x = 6,951.10

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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.