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Finding the Fourth Proportional to 11,547.76, 15,935.53 and 7,301.11

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Solution

The fourth proportional to 11,547.76, 15,935.53 and 7,301.11 is: 10,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.76 : 15,935.53 = 7,301.11 : x
  2. Step 2: Convert to fraction form
    11,547.76/15,935.53 = 7,301.11/x
  3. Step 3: Cross multiply
    11,547.76x = 15,935.53 × 7,301.11
  4. Step 4: Simplify right side
    11,547.76x = 116,347,057.44
  5. Step 5: Solve for x
    x = 116,347,057.44/11,547.76
  6. Step 6: Final answer
    x = 10,075.29

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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.