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Finding the Fourth Proportional to 12,607.66, 17,397.08 and 7,301.44

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Solution

The fourth proportional to 12,607.66, 17,397.08 and 7,301.44 is: 10,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.66 : 17,397.08 = 7,301.44 : x
  2. Step 2: Convert to fraction form
    12,607.66/17,397.08 = 7,301.44/x
  3. Step 3: Cross multiply
    12,607.66x = 17,397.08 × 7,301.44
  4. Step 4: Simplify right side
    12,607.66x = 127,023,699.29
  5. Step 5: Solve for x
    x = 127,023,699.29/12,607.66
  6. Step 6: Final answer
    x = 10,075.12

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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.