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Finding the Fourth Proportional to 9,417.71, 13,009.94 and 7,526.81

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Solution

The fourth proportional to 9,417.71, 13,009.94 and 7,526.81 is: 10,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.71 : 13,009.94 = 7,526.81 : x
  2. Step 2: Convert to fraction form
    9,417.71/13,009.94 = 7,526.81/x
  3. Step 3: Cross multiply
    9,417.71x = 13,009.94 × 7,526.81
  4. Step 4: Simplify right side
    9,417.71x = 97,923,346.49
  5. Step 5: Solve for x
    x = 97,923,346.49/9,417.71
  6. Step 6: Final answer
    x = 10,397.79

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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.