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Finding the Fourth Proportional to 9,807.84, 13,534.71 and 7,301.16

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Solution

The fourth proportional to 9,807.84, 13,534.71 and 7,301.16 is: 10,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.84 : 13,534.71 = 7,301.16 : x
  2. Step 2: Convert to fraction form
    9,807.84/13,534.71 = 7,301.16/x
  3. Step 3: Cross multiply
    9,807.84x = 13,534.71 × 7,301.16
  4. Step 4: Simplify right side
    9,807.84x = 98,819,083.26
  5. Step 5: Solve for x
    x = 98,819,083.26/9,807.84
  6. Step 6: Final answer
    x = 10,075.52

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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.