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Finding the Fourth Proportional to 12,583.04, 17,365.20 and 7,547.54

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Solution

The fourth proportional to 12,583.04, 17,365.20 and 7,547.54 is: 10,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.04 : 17,365.20 = 7,547.54 : x
  2. Step 2: Convert to fraction form
    12,583.04/17,365.20 = 7,547.54/x
  3. Step 3: Cross multiply
    12,583.04x = 17,365.20 × 7,547.54
  4. Step 4: Simplify right side
    12,583.04x = 131,064,541.61
  5. Step 5: Solve for x
    x = 131,064,541.61/12,583.04
  6. Step 6: Final answer
    x = 10,415.97

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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.