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Finding the Fourth Proportional to 9,852.81, 13,603.51 and 7,580.10

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Solution

The fourth proportional to 9,852.81, 13,603.51 and 7,580.10 is: 10,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.81 : 13,603.51 = 7,580.10 : x
  2. Step 2: Convert to fraction form
    9,852.81/13,603.51 = 7,580.10/x
  3. Step 3: Cross multiply
    9,852.81x = 13,603.51 × 7,580.10
  4. Step 4: Simplify right side
    9,852.81x = 103,115,966.15
  5. Step 5: Solve for x
    x = 103,115,966.15/9,852.81
  6. Step 6: Final answer
    x = 10,465.64

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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.