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Finding the Fourth Proportional to 6,970.16, 9,612.40 and 4,735.38

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Solution

The fourth proportional to 6,970.16, 9,612.40 and 4,735.38 is: 6,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.16 : 9,612.40 = 4,735.38 : x
  2. Step 2: Convert to fraction form
    6,970.16/9,612.40 = 4,735.38/x
  3. Step 3: Cross multiply
    6,970.16x = 9,612.40 × 4,735.38
  4. Step 4: Simplify right side
    6,970.16x = 45,518,366.71
  5. Step 5: Solve for x
    x = 45,518,366.71/6,970.16
  6. Step 6: Final answer
    x = 6,530.46

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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.