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Finding the Fourth Proportional to 15,712, 23,574.48 and 6,484.48

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Solution

The fourth proportional to 15,712, 23,574.48 and 6,484.48 is: 9,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712 : 23,574.48 = 6,484.48 : x
  2. Step 2: Convert to fraction form
    15,712/23,574.48 = 6,484.48/x
  3. Step 3: Cross multiply
    15,712x = 23,574.48 × 6,484.48
  4. Step 4: Simplify right side
    15,712x = 152,868,244.07
  5. Step 5: Solve for x
    x = 152,868,244.07/15,712
  6. Step 6: Final answer
    x = 9,729.39

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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.