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Finding the Fourth Proportional to 9,810.58, 13,529.34 and 7,568.92

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Solution

The fourth proportional to 9,810.58, 13,529.34 and 7,568.92 is: 10,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.58 : 13,529.34 = 7,568.92 : x
  2. Step 2: Convert to fraction form
    9,810.58/13,529.34 = 7,568.92/x
  3. Step 3: Cross multiply
    9,810.58x = 13,529.34 × 7,568.92
  4. Step 4: Simplify right side
    9,810.58x = 102,402,492.11
  5. Step 5: Solve for x
    x = 102,402,492.11/9,810.58
  6. Step 6: Final answer
    x = 10,437.97

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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.