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Finding the Fourth Proportional to 12,852.13, 17,741.71 and 7,547.29

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Solution

The fourth proportional to 12,852.13, 17,741.71 and 7,547.29 is: 10,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.13 : 17,741.71 = 7,547.29 : x
  2. Step 2: Convert to fraction form
    12,852.13/17,741.71 = 7,547.29/x
  3. Step 3: Cross multiply
    12,852.13x = 17,741.71 × 7,547.29
  4. Step 4: Simplify right side
    12,852.13x = 133,901,830.47
  5. Step 5: Solve for x
    x = 133,901,830.47/12,852.13
  6. Step 6: Final answer
    x = 10,418.65

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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.