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Finding the Fourth Proportional to 7,702.07, 10,603.14 and 7,349.41

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Solution

The fourth proportional to 7,702.07, 10,603.14 and 7,349.41 is: 10,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.07 : 10,603.14 = 7,349.41 : x
  2. Step 2: Convert to fraction form
    7,702.07/10,603.14 = 7,349.41/x
  3. Step 3: Cross multiply
    7,702.07x = 10,603.14 × 7,349.41
  4. Step 4: Simplify right side
    7,702.07x = 77,926,808.84
  5. Step 5: Solve for x
    x = 77,926,808.84/7,702.07
  6. Step 6: Final answer
    x = 10,117.65

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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.