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Finding the Fourth Proportional to 12,559.71, 17,332.95 and 7,524.75

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Solution

The fourth proportional to 12,559.71, 17,332.95 and 7,524.75 is: 10,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.71 : 17,332.95 = 7,524.75 : x
  2. Step 2: Convert to fraction form
    12,559.71/17,332.95 = 7,524.75/x
  3. Step 3: Cross multiply
    12,559.71x = 17,332.95 × 7,524.75
  4. Step 4: Simplify right side
    12,559.71x = 130,426,115.51
  5. Step 5: Solve for x
    x = 130,426,115.51/12,559.71
  6. Step 6: Final answer
    x = 10,384.48

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Half scale
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Double scale
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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.