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Finding the Fourth Proportional to 9,810.90, 14,696.64 and 4,538.52

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Solution

The fourth proportional to 9,810.90, 14,696.64 and 4,538.52 is: 6,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.90 : 14,696.64 = 4,538.52 : x
  2. Step 2: Convert to fraction form
    9,810.90/14,696.64 = 4,538.52/x
  3. Step 3: Cross multiply
    9,810.90x = 14,696.64 × 4,538.52
  4. Step 4: Simplify right side
    9,810.90x = 66,700,973.91
  5. Step 5: Solve for x
    x = 66,700,973.91/9,810.90
  6. Step 6: Final answer
    x = 6,798.66

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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.