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Finding the Fourth Proportional to 9,952.51, 14,925.52 and 4,405.75

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Solution

The fourth proportional to 9,952.51, 14,925.52 and 4,405.75 is: 6,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.51 : 14,925.52 = 4,405.75 : x
  2. Step 2: Convert to fraction form
    9,952.51/14,925.52 = 4,405.75/x
  3. Step 3: Cross multiply
    9,952.51x = 14,925.52 × 4,405.75
  4. Step 4: Simplify right side
    9,952.51x = 65,758,109.74
  5. Step 5: Solve for x
    x = 65,758,109.74/9,952.51
  6. Step 6: Final answer
    x = 6,607.19

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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.