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Finding the Fourth Proportional to 7,710.98, 10,642.14 and 4,354.65

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Solution

The fourth proportional to 7,710.98, 10,642.14 and 4,354.65 is: 6,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.98 : 10,642.14 = 4,354.65 : x
  2. Step 2: Convert to fraction form
    7,710.98/10,642.14 = 4,354.65/x
  3. Step 3: Cross multiply
    7,710.98x = 10,642.14 × 4,354.65
  4. Step 4: Simplify right side
    7,710.98x = 46,342,794.95
  5. Step 5: Solve for x
    x = 46,342,794.95/7,710.98
  6. Step 6: Final answer
    x = 6,009.98

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Double scale
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Similar ratio
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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.