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Finding the Fourth Proportional to 13,032.74, 17,985.24 and 7,064.40

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Solution

The fourth proportional to 13,032.74, 17,985.24 and 7,064.40 is: 9,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.74 : 17,985.24 = 7,064.40 : x
  2. Step 2: Convert to fraction form
    13,032.74/17,985.24 = 7,064.40/x
  3. Step 3: Cross multiply
    13,032.74x = 17,985.24 × 7,064.40
  4. Step 4: Simplify right side
    13,032.74x = 127,054,929.46
  5. Step 5: Solve for x
    x = 127,054,929.46/13,032.74
  6. Step 6: Final answer
    x = 9,748.90

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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.